Derivative of sin(x)^3-cos(10x)

Derivative of sin(x)^3-cos(10x). 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 sin(x)^3-cos(10x): 


((sin(x))^3-cos(10*x))'

((sin(x))^3)'+(-cos(10*x))'

3*(sin(x))^(3-1)*(sin(x))'+(-cos(10*x))'

3*(sin(x))^(3-1)*cos(x)+(-cos(10*x))'

3*(sin(x))^2*cos(x)-sin(10*x)*(10*x)'

3*(sin(x))^2*cos(x)-sin(10*x)*((10)'*x+10*(x)')

3*(sin(x))^2*cos(x)-sin(10*x)*(0*x+10*(x)')

3*(sin(x))^2*cos(x)-sin(10*x)*(0*x+10*1)

3*(sin(x))^2*cos(x)+10*(-sin(10*x))

3*(sin(x))^2*cos(x)+10*sin(10*x)

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

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