Derivative of sin(x)*cos(3x)

Derivative of sin(x)*cos(3x). 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)*cos(3x):


(sin(x)*cos(3*x))'

(sin(x))'*cos(3*x)+sin(x)*(cos(3*x))'

cos(x)*cos(3*x)+sin(x)*(cos(3*x))'

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

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

cos(x)*cos(3*x)+sin(x)*-sin(3*x)*(0*x+3*(x)')

cos(x)*cos(3*x)+sin(x)*-sin(3*x)*(0*x+3*1)

cos(x)*cos(3*x)+sin(x)*3*(-sin(3*x))

cos(x)*cos(3*x)+sin(x)*-3*sin(3*x)

cos(x)*cos(3*x)-(3*sin(x)*sin(3*x))

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

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