y=2cosHx-pi�3L

Input:

y � 2 cos x -Π

3

Exact result:

y � 2 sin x +Π

6

Plots:

-6 -4 -2 2 4 6

-2

-1

1

2

Hx from -6 to 6L

Alternate forms:

y � 3 sinHxL + cosHxL

Generated by Wolfram|Alpha (www.wolframalpha.com) on March 16, 2011 from Champaign, IL.

© Wolfram Alpha LLC—A Wolfram Research Company1

Implicit derivatives:

¶ xHyL

¶ y�

1

2sec

Π

6+ x

Global maxima:

max:y � 2 cos x -Π

3> � 2 at x �

Π

3+ 2 n Π for integer n

Global minima:

min:y � 2 cos x -Π

3> � -2 at x � -

2 Π

3+ 2 n Π for integer n

y=2cos(x- pi/3)

Generated by Wolfram|Alpha (www.wolframalpha.com) on March 16, 2011 from Champaign, IL.

© Wolfram Alpha LLC—A Wolfram Research Company2