Derivative of (x)cos(5x)

Derivative of (x)cos(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 (x)cos(5x): 


(x*cos(5*x))'

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

1*cos(5*x)+x*(cos(5*x))'

1*cos(5*x)+x*-sin(5*x)*(5*x)'

1*cos(5*x)+x*-sin(5*x)*((5)'*x+5*(x)')

1*cos(5*x)+x*-sin(5*x)*(0*x+5*(x)')

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

1*cos(5*x)+x*5*(-sin(5*x))

1*cos(5*x)+x*-5*sin(5*x)

cos(5*x)-(5*x*sin(5*x))

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

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