Derivative of 5x*sin(8x)

Derivative of 5x*sin(8x). 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 5x*sin(8x): 


(5*x*sin(8*x))'

(5*x)'*sin(8*x)+5*x*(sin(8*x))'

((5)'*x+5*(x)')*sin(8*x)+5*x*(sin(8*x))'

(0*x+5*(x)')*sin(8*x)+5*x*(sin(8*x))'

(0*x+5*1)*sin(8*x)+5*x*(sin(8*x))'

5*sin(8*x)+5*x*(sin(8*x))'

5*sin(8*x)+5*x*cos(8*x)*(8*x)'

5*sin(8*x)+5*x*cos(8*x)*((8)'*x+8*(x)')

5*sin(8*x)+5*x*cos(8*x)*(0*x+8*(x)')

5*sin(8*x)+5*x*cos(8*x)*(0*x+8*1)

5*sin(8*x)+5*x*8*cos(8*x)

5*sin(8*x)+40*x*cos(8*x)

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

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