Derivative of x*cos(4x)

Derivative of x*cos(4x). 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(4x): 


(x*cos(4*x))'

(x)'*cos(4*x)+x*(cos(4*x))'

1*cos(4*x)+x*(cos(4*x))'

1*cos(4*x)+x*-sin(4*x)*(4*x)'

1*cos(4*x)+x*-sin(4*x)*((4)'*x+4*(x)')

1*cos(4*x)+x*-sin(4*x)*(0*x+4*(x)')

1*cos(4*x)+x*-sin(4*x)*(0*x+4*1)

1*cos(4*x)+x*4*(-sin(4*x))

1*cos(4*x)+x*-4*sin(4*x)

cos(4*x)-(4*x*sin(4*x))

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

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