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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