Derivative of 15x*sin(3x)

Derivative of 15x*sin(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 15x*sin(3x): 


(15*x*sin(3*x))'

(15*x)'*sin(3*x)+15*x*(sin(3*x))'

((15)'*x+15*(x)')*sin(3*x)+15*x*(sin(3*x))'

(0*x+15*(x)')*sin(3*x)+15*x*(sin(3*x))'

(0*x+15*1)*sin(3*x)+15*x*(sin(3*x))'

15*sin(3*x)+15*x*(sin(3*x))'

15*sin(3*x)+15*x*cos(3*x)*(3*x)'

15*sin(3*x)+15*x*cos(3*x)*((3)'*x+3*(x)')

15*sin(3*x)+15*x*cos(3*x)*(0*x+3*(x)')

15*sin(3*x)+15*x*cos(3*x)*(0*x+3*1)

15*sin(3*x)+15*x*3*cos(3*x)

15*sin(3*x)+45*x*cos(3*x)

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

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