Derivative of (3x^2)cos(5x)

Derivative of (3x^2)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 (3x^2)cos(5x): 


(3*x^2*cos(5*x))'

(3*x^2)'*cos(5*x)+3*x^2*(cos(5*x))'

((3)'*x^2+3*(x^2)')*cos(5*x)+3*x^2*(cos(5*x))'

(0*x^2+3*(x^2)')*cos(5*x)+3*x^2*(cos(5*x))'

(0*x^2+3*2*x^(2-1))*cos(5*x)+3*x^2*(cos(5*x))'

(0*x^2+3*2*x)*cos(5*x)+3*x^2*(cos(5*x))'

6*x*cos(5*x)+3*x^2*(cos(5*x))'

6*x*cos(5*x)+3*x^2*-sin(5*x)*(5*x)'

6*x*cos(5*x)+3*x^2*-sin(5*x)*((5)'*x+5*(x)')

6*x*cos(5*x)+3*x^2*-sin(5*x)*(0*x+5*(x)')

6*x*cos(5*x)+3*x^2*-sin(5*x)*(0*x+5*1)

6*x*cos(5*x)+3*x^2*5*(-sin(5*x))

6*x*cos(5*x)+3*x^2*-5*sin(5*x)

6*x*cos(5*x)-(15*x^2*sin(5*x))

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

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