Derivative of 3*x*sin(5x)

Derivative of 3*x*sin(5x). 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 3*x*sin(5x):


(3*x*sin(5*x))'

(3*x)'*sin(5*x)+3*x*(sin(5*x))'

((3)'*x+3*(x)')*sin(5*x)+3*x*(sin(5*x))'

(0*x+3*(x)')*sin(5*x)+3*x*(sin(5*x))'

(0*x+3*1)*sin(5*x)+3*x*(sin(5*x))'

3*sin(5*x)+3*x*(sin(5*x))'

3*sin(5*x)+3*x*cos(5*x)*(5*x)'

3*sin(5*x)+3*x*cos(5*x)*((5)'*x+5*(x)')

3*sin(5*x)+3*x*cos(5*x)*(0*x+5*(x)')

3*sin(5*x)+3*x*cos(5*x)*(0*x+5*1)

3*sin(5*x)+3*x*5*cos(5*x)

3*sin(5*x)+15*x*cos(5*x)

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

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