Derivative of 1/2sin(2x)-sin(x)

Derivative of 1/2sin(2x)-sin(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 1/2sin(2x)-sin(x):


((1/2)*sin(2*x)-sin(x))'

((1/2)*sin(2*x))'+(-sin(x))'

(1/2)'*sin(2*x)+(1/2)*(sin(2*x))'+(-sin(x))'

0*sin(2*x)+(1/2)*(sin(2*x))'+(-sin(x))'

0*sin(2*x)+(1/2)*cos(2*x)*(2*x)'+(-sin(x))'

0*sin(2*x)+(1/2)*cos(2*x)*((2)'*x+2*(x)')+(-sin(x))'

0*sin(2*x)+(1/2)*cos(2*x)*(0*x+2*(x)')+(-sin(x))'

0*sin(2*x)+(1/2)*cos(2*x)*(0*x+2*1)+(-sin(x))'

0*sin(2*x)+(1/2)*2*cos(2*x)+(-sin(x))'

cos(2*x)+cos(x)

cos(2*x)-cos(x)

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

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