Derivative of cos(x-cos(x))+sin(x)*cos(x-cos(x))

Derivative of cos(x-cos(x))+sin(x)*cos(x-cos(x)). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of cos(x-cos(x))+sin(x)*cos(x-cos(x)): 


(cos(x-cos(x))+sin(x)*cos(x-cos(x)))'

(cos(x-cos(x)))'+(sin(x)*cos(x-cos(x)))'

(sin(x)*cos(x-cos(x)))'-sin(x-cos(x))*(x-cos(x))'

(sin(x)*cos(x-cos(x)))'-sin(x-cos(x))*((-cos(x))'+(x)')

(sin(x)*cos(x-cos(x)))'-sin(x-cos(x))*((x)'-sin(x))

(sin(x)*cos(x-cos(x)))'-sin(x-cos(x))*(sin(x)+1)

(sin(x))'*cos(x-cos(x))-((sin(x)+1)*sin(x-cos(x)))+sin(x)*(cos(x-cos(x)))'

cos(x)*cos(x-cos(x))-((sin(x)+1)*sin(x-cos(x)))+sin(x)*(cos(x-cos(x)))'

cos(x)*cos(x-cos(x))-((sin(x)+1)*sin(x-cos(x)))+sin(x)*-sin(x-cos(x))*(x-cos(x))'

cos(x)*cos(x-cos(x))-((sin(x)+1)*sin(x-cos(x)))+sin(x)*-sin(x-cos(x))*((-cos(x))'+(x)')

cos(x)*cos(x-cos(x))-((sin(x)+1)*sin(x-cos(x)))+sin(x)*-sin(x-cos(x))*((x)'-sin(x))

cos(x)*cos(x-cos(x))-((sin(x)+1)*sin(x-cos(x)))+sin(x)*-sin(x-cos(x))*(sin(x)+1)

cos(x)*cos(x-cos(x))-((sin(x)+1)*sin(x-cos(x)))+sin(x)*(-((sin(x)+1)*sin(x-cos(x))))

cos(x)*cos(x-cos(x))-((sin(x)+1)*sin(x-cos(x)))-((sin(x)+1)*sin(x-cos(x))*sin(x))

The calculation above is a derivative of the function f (x)

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