Derivative of (x)cos(3x)

Derivative of (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 (x)cos(3x): 


(x*cos(3*x))'

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

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

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

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

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

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

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

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

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

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

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