Derivative of x*sin(3*x)

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


(x*sin(3*x))'

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

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

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

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

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

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

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

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

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

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