tarea de mate
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matematicasTRANSCRIPT
![Page 1: Tarea de Mate](https://reader036.vdocuments.pub/reader036/viewer/2022062223/577c7ffd1a28abe054a6dab9/html5/thumbnails/1.jpg)
UNIVERSIDAD SALVADOREÑA ALBERTO MASFERRER
Decanos: Ing. Yanira Gomez Ing. Hector Barahona
Materia: Matematicas II
Encontrar Las Derivadas De Los Ejercicios Planteados a Continuación
Alumno: Christian Ivánn Gutiérrez FernándezCarnet: 150886Carrera: Licenciatura en Ciencias de la Computación
22/09/2015
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Encontrar la Derivada de
f(w) = 𝑤𝑤−5- 𝑤5 f(w) = 𝑤𝑤−4- 𝑤5 𝑑𝑤 𝑤−4 - 𝑤5 =
Aplicando T4 𝑑𝑑𝑤 𝑤−4 - 𝑑𝑑𝑤 𝑤−5
= 4𝑤−4−1 - 5 𝑑𝑑𝑤 𝑤−5
= − 4𝑤−5 -5 (-5)𝑤−5−1
= − 4𝑤−5 + 25𝑤−6
= −4𝑤−5 + 25𝑤6
=−4𝑤+25𝑤6
=
![Page 3: Tarea de Mate](https://reader036.vdocuments.pub/reader036/viewer/2022062223/577c7ffd1a28abe054a6dab9/html5/thumbnails/3.jpg)
Encontrar la Derivada de
𝑓ሺ𝑥ሻ= 7𝑥3 + 𝑥12𝑥1/2
𝑓ሺ𝑥ሻ= 112 . 7𝑥3 + 𝑥𝑥1/2
𝑓ሺ𝑥ሻ= 112 . (7𝑥3 + 𝑥) (𝑥1/2)
𝑓ሺ𝑥ሻ= 112 ൣ�7𝑥5/2 + 𝑥1/2൧ 𝑑𝑑𝑥 112 ൣ�7𝑥5/2 + 𝑥1/2൧ T3
12 𝑑𝑑𝑥 7𝑥5/2 + 𝑥1/2 T4 12 𝑑𝑑𝑥 7𝑥5/2 + 𝑑𝑑𝑥 𝑥1/2൨ 112 ቂ7 𝑑𝑑𝑥 𝑥5/2 + 1 2 ൣ�𝑥12−1ቃ 112 ቂ7 𝑥52−1 + 1 2 ൣ�𝑥12ቃ = 112 ቂ352 𝑥3/2 + 12𝑥1/2ቃ = 3524 ξ𝑥3 + 124ξ𝑥