![Page 1: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/1.jpg)
E-mail: [email protected]: www.pvilson.com.brFone: (45) 3256-1169 e (45) 8835-7227
UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PRProfessor Vilson Schwantes – www.pvilson.com.br
VILSON SCHWANTESVILSON SCHWANTESPROFESSOR
![Page 2: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/2.jpg)
![Page 3: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/3.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 4: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/4.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 5: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/5.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 6: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/6.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 7: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/7.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
A0 2
ΔX= ????? X + ΔX - X
![Page 8: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/8.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
∢∢ α
![Page 9: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/9.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 10: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/10.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 11: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/11.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 12: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/12.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 13: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/13.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 14: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/14.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
OBSERVE …….
![Page 15: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/15.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 16: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/16.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 17: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/17.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 18: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/18.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 19: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/19.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 20: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/20.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 21: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/21.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 22: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/22.jpg)
1) Calcular o y do ponto, ou seja f (xo); P(. . . ; . . . )
2) Calcular a derivada da função: y’= . . . . .
3) Equação da reta tangente: y= ax + b
4) Gráfico e ângulo. . . . .
Professor Vilson Schwantes – www.pvilson.com.br
(1;4)
Y’=2x
Y=2x+2
Próximo slide
![Page 23: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/23.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 24: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/24.jpg)
![Page 25: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/25.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 26: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/26.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 27: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/27.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
Respostas: a) Po = (1;1) ; Derivada: y’=2x ; Equação da reta tangente: y= 2x-1 ; Ângulo: 63,4º.b) P1= (3/2;9/4); Derivada: y’=2x; Equação da reta tangente: y=3x-9/4; Ângulo: 71,5º.c) P2 = (-2/3;4/9) ; Derivada: y’=2x ; Equação: reta tangente: y= -4/3x-4/9 ; Ângulo: 126,8º.d) P3 = (0;0) ; Derivada: y’=2x ; Equação da reta tangente: y= 0 ; Ângulo: 0º.
![Page 28: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/28.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
Próximo é com vocês.
![Page 29: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/29.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 30: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/30.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 31: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/31.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 32: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/32.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 33: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/33.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 34: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/34.jpg)
![Page 35: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/35.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 36: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/36.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
Racionalizar
![Page 37: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/37.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 38: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/38.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 39: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/39.jpg)
![Page 40: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/40.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 41: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/41.jpg)
![Page 42: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/42.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 43: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/43.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 44: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/44.jpg)
Professor Vilson Schwantes – www.pvilson.com.br
![Page 45: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/45.jpg)
![Page 46: E-mail: vilson1001@gmail.com Site: Fone: (45) 3256-1169 e (45) 8835-7227 UNIOESTE: Campus Universitário de Mal. Cdo. Rondon - PR Professor](https://reader036.vdocuments.pub/reader036/viewer/2022070311/552fc12d497959413d8d260c/html5/thumbnails/46.jpg)
Professor Vilson Schwantes – www.pvilson.com.br