What is the derivative of #cos (2x)#?

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What is the derivative of #cos (2x)#?

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Answer 1 · 2017-02-12T09:20:12

#-2sin(2x)#

Explanation:

if #y = f(g(x))#
then #y' = f'(g(x)) * g'(x)# by the chain rule, or the derivative of the outside function times the derivative of the inside function.

So the derivative of #cos(2x)# is #-sin(2x)# times the derivative of the inside, so it is #-2sin(2x)#.

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What is the derivative of #cos (2x)#?

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