Differentiate the function y=4cos(cos(x)).?

1 Answer
Narad T.
Dec 25, 2017

The derivative is #=4sin(x)sin(cos(x))#

Explanation:

Reminder

#(cosx)'=sinx#

Here, we have

#y=4cos(cosx)#

Perform the chain rule differentiation

#dy/dx=4*(cos(cosx))'*(cosx)'= 4*-sin(cosx)*-sinx#

#=4sin(x)sin(cos(x))#

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