Derivative of 6*sin(3x)*cos(3x)

Derivative of 6*sin(3x)*cos(3x). 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 6*sin(3x)*cos(3x): 


(6*sin(3*x)*cos(3*x))'

(6*sin(3*x))'*cos(3*x)+6*sin(3*x)*(cos(3*x))'

((6)'*sin(3*x)+6*(sin(3*x))')*cos(3*x)+6*sin(3*x)*(cos(3*x))'

(0*sin(3*x)+6*(sin(3*x))')*cos(3*x)+6*sin(3*x)*(cos(3*x))'

(0*sin(3*x)+6*cos(3*x)*(3*x)')*cos(3*x)+6*sin(3*x)*(cos(3*x))'

(0*sin(3*x)+6*cos(3*x)*((3)'*x+3*(x)'))*cos(3*x)+6*sin(3*x)*(cos(3*x))'

(0*sin(3*x)+6*cos(3*x)*(0*x+3*(x)'))*cos(3*x)+6*sin(3*x)*(cos(3*x))'

(0*sin(3*x)+6*cos(3*x)*(0*x+3*1))*cos(3*x)+6*sin(3*x)*(cos(3*x))'

(0*sin(3*x)+6*3*cos(3*x))*cos(3*x)+6*sin(3*x)*(cos(3*x))'

18*cos(3*x)*cos(3*x)+6*sin(3*x)*(cos(3*x))'

18*cos(3*x)*cos(3*x)+6*sin(3*x)*-sin(3*x)*(3*x)'

18*cos(3*x)*cos(3*x)+6*sin(3*x)*-sin(3*x)*((3)'*x+3*(x)')

18*cos(3*x)*cos(3*x)+6*sin(3*x)*-sin(3*x)*(0*x+3*(x)')

18*cos(3*x)*cos(3*x)+6*sin(3*x)*-sin(3*x)*(0*x+3*1)

18*cos(3*x)*cos(3*x)+6*sin(3*x)*3*(-sin(3*x))

18*cos(3*x)*cos(3*x)+6*sin(3*x)*-3*sin(3*x)

18*(cos(3*x))^2-(18*(sin(3*x))^2)

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

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