Derivative of cos(sin(x))*(cos(x))^3-(2*cos(x)*sin(x)*sin(sin(x)))-(cos(x)*sin(sin(x))*sin(x))-(cos(sin(x))*cos(x))

Derivative of cos(sin(x))*(cos(x))^3-(2*cos(x)*sin(x)*sin(sin(x)))-(cos(x)*sin(sin(x))*sin(x))-(cos(sin(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(sin(x))*(cos(x))^3-(2*cos(x)*sin(x)*sin(sin(x)))-(cos(x)*sin(sin(x))*sin(x))-(cos(sin(x))*cos(x)): 


(cos(sin(x))*(cos(x))^3-(2*cos(x)*sin(x)*sin(sin(x)))-(cos(x)*sin(sin(x))*sin(x))-(cos(sin(x))*cos(x)))'

(cos(sin(x))*(cos(x))^3-(2*cos(x)*sin(x)*sin(sin(x)))-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(sin(x))*(cos(x))^3-(2*cos(x)*sin(x)*sin(sin(x))))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(sin(x))*(cos(x))^3)'+(-(2*cos(x)*sin(x)*sin(sin(x))))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(sin(x)))'*(cos(x))^3+cos(sin(x))*((cos(x))^3)'+(-(2*cos(x)*sin(x)*sin(sin(x))))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

cos(sin(x))*((cos(x))^3)'-sin(sin(x))*(sin(x))'*(cos(x))^3+(-(2*cos(x)*sin(x)*sin(sin(x))))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

cos(sin(x))*((cos(x))^3)'-sin(sin(x))*cos(x)*(cos(x))^3+(-(2*cos(x)*sin(x)*sin(sin(x))))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

cos(sin(x))*((cos(x))^3)'-(cos(x)*sin(sin(x)))*(cos(x))^3+(-(2*cos(x)*sin(x)*sin(sin(x))))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

cos(sin(x))*3*(cos(x))^(3-1)*(cos(x))'-(cos(x)*sin(sin(x)))*(cos(x))^3+(-(2*cos(x)*sin(x)*sin(sin(x))))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

cos(sin(x))*3*(cos(x))^(3-1)*(-sin(x))-(cos(x)*sin(sin(x)))*(cos(x))^3+(-(2*cos(x)*sin(x)*sin(sin(x))))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

cos(sin(x))*-3*(cos(x))^2*sin(x)-(cos(x)*sin(sin(x)))*(cos(x))^3+(-(2*cos(x)*sin(x)*sin(sin(x))))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-3*cos(sin(x))*(cos(x))^2*sin(x)+(2*cos(x)*sin(x))'*sin(sin(x))+2*cos(x)*sin(x)*(sin(sin(x)))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-3*cos(sin(x))*(cos(x))^2*sin(x)+((2*cos(x))'*sin(x)+2*cos(x)*(sin(x))')*sin(sin(x))+2*cos(x)*sin(x)*(sin(sin(x)))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-3*cos(sin(x))*(cos(x))^2*sin(x)+(((2)'*cos(x)+2*(cos(x))')*sin(x)+2*cos(x)*(sin(x))')*sin(sin(x))+2*cos(x)*sin(x)*(sin(sin(x)))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-3*cos(sin(x))*(cos(x))^2*sin(x)+((0*cos(x)+2*(cos(x))')*sin(x)+2*cos(x)*(sin(x))')*sin(sin(x))+2*cos(x)*sin(x)*(sin(sin(x)))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-3*cos(sin(x))*(cos(x))^2*sin(x)+((0*cos(x)+2*(-sin(x)))*sin(x)+2*cos(x)*(sin(x))')*sin(sin(x))+2*cos(x)*sin(x)*(sin(sin(x)))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-3*cos(sin(x))*(cos(x))^2*sin(x)+(2*cos(x)*(sin(x))'-2*sin(x)*sin(x))*sin(sin(x))+2*cos(x)*sin(x)*(sin(sin(x)))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-3*cos(sin(x))*(cos(x))^2*sin(x)+(2*cos(x)*cos(x)-2*sin(x)*sin(x))*sin(sin(x))+2*cos(x)*sin(x)*(sin(sin(x)))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-3*cos(sin(x))*(cos(x))^2*sin(x)+(2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x))+2*cos(x)*sin(x)*(sin(sin(x)))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-3*cos(sin(x))*(cos(x))^2*sin(x)+(2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x))+2*cos(x)*sin(x)*cos(sin(x))*(sin(x))'+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-3*cos(sin(x))*(cos(x))^2*sin(x)+(2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x))+2*cos(x)*sin(x)*cos(sin(x))*cos(x)+(-(cos(x)*sin(sin(x))*sin(x)))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)+(cos(x)*sin(sin(x)))'*sin(x)+cos(x)*sin(sin(x))*(sin(x))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)+((cos(x))'*sin(sin(x))+cos(x)*(sin(sin(x)))')*sin(x)+cos(x)*sin(sin(x))*(sin(x))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)+(cos(x)*(sin(sin(x)))'-sin(x)*sin(sin(x)))*sin(x)+cos(x)*sin(sin(x))*(sin(x))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)+(cos(x)*cos(sin(x))*(sin(x))'-sin(x)*sin(sin(x)))*sin(x)+cos(x)*sin(sin(x))*(sin(x))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)+(cos(x)*cos(sin(x))*cos(x)-sin(x)*sin(sin(x)))*sin(x)+cos(x)*sin(sin(x))*(sin(x))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)+(cos(sin(x))*(cos(x))^2-(sin(x)*sin(sin(x))))*sin(x)+cos(x)*sin(sin(x))*(sin(x))'+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)+(cos(sin(x))*(cos(x))^2-(sin(x)*sin(sin(x))))*sin(x)+cos(x)*sin(sin(x))*cos(x)+(-(cos(sin(x))*cos(x)))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)-((cos(sin(x))*(cos(x))^2-(sin(x)*sin(sin(x))))*sin(x))-((cos(x))^2*sin(sin(x)))+(cos(sin(x)))'*cos(x)+cos(sin(x))*(cos(x))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)-((cos(sin(x))*(cos(x))^2-(sin(x)*sin(sin(x))))*sin(x))-((cos(x))^2*sin(sin(x)))-sin(sin(x))*(sin(x))'*cos(x)+cos(sin(x))*(cos(x))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)-((cos(sin(x))*(cos(x))^2-(sin(x)*sin(sin(x))))*sin(x))-((cos(x))^2*sin(sin(x)))-sin(sin(x))*cos(x)*cos(x)+cos(sin(x))*(cos(x))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)-((cos(sin(x))*(cos(x))^2-(sin(x)*sin(sin(x))))*sin(x))-((cos(x))^2*sin(sin(x)))-(cos(x)*sin(sin(x)))*cos(x)+cos(sin(x))*(cos(x))'

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-2*(sin(x))^2)*sin(sin(x)))-2*cos(sin(x))*(cos(x))^2*sin(x)-3*cos(sin(x))*(cos(x))^2*sin(x)-((cos(sin(x))*(cos(x))^2-(sin(x)*sin(sin(x))))*sin(x))-((cos(x))^2*sin(sin(x)))-(cos(x)*sin(sin(x)))*cos(x)+cos(sin(x))*(-sin(x))

(cos(x))^4*sin(sin(x))-((2*(cos(x))^2-(2*(sin(x))^2))*sin(sin(x)))-(2*(cos(x))^2*sin(sin(x)))+cos(sin(x))*sin(x)-(2*cos(sin(x))*(cos(x))^2*sin(x))-(3*cos(sin(x))*(cos(x))^2*sin(x))-((cos(sin(x))*(cos(x))^2-(sin(x)*sin(sin(x))))*sin(x))

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

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