Derivative of 4sin(2x)cos(6x)

Derivative of 4sin(2x)cos(6x). 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 4sin(2x)cos(6x):


(4*sin(2*x)*cos(6*x))'

(4*sin(2*x))'*cos(6*x)+4*sin(2*x)*(cos(6*x))'

((4)'*sin(2*x)+4*(sin(2*x))')*cos(6*x)+4*sin(2*x)*(cos(6*x))'

(0*sin(2*x)+4*(sin(2*x))')*cos(6*x)+4*sin(2*x)*(cos(6*x))'

(0*sin(2*x)+4*cos(2*x)*(2*x)')*cos(6*x)+4*sin(2*x)*(cos(6*x))'

(0*sin(2*x)+4*cos(2*x)*((2)'*x+2*(x)'))*cos(6*x)+4*sin(2*x)*(cos(6*x))'

(0*sin(2*x)+4*cos(2*x)*(0*x+2*(x)'))*cos(6*x)+4*sin(2*x)*(cos(6*x))'

(0*sin(2*x)+4*cos(2*x)*(0*x+2*1))*cos(6*x)+4*sin(2*x)*(cos(6*x))'

(0*sin(2*x)+4*2*cos(2*x))*cos(6*x)+4*sin(2*x)*(cos(6*x))'

8*cos(2*x)*cos(6*x)+4*sin(2*x)*(cos(6*x))'

8*cos(2*x)*cos(6*x)+4*sin(2*x)*-sin(6*x)*(6*x)'

8*cos(2*x)*cos(6*x)+4*sin(2*x)*-sin(6*x)*((6)'*x+6*(x)')

8*cos(2*x)*cos(6*x)+4*sin(2*x)*-sin(6*x)*(0*x+6*(x)')

8*cos(2*x)*cos(6*x)+4*sin(2*x)*-sin(6*x)*(0*x+6*1)

8*cos(2*x)*cos(6*x)+4*sin(2*x)*6*(-sin(6*x))

8*cos(2*x)*cos(6*x)+4*sin(2*x)*-6*sin(6*x)

8*cos(2*x)*cos(6*x)-(24*sin(2*x)*sin(6*x))

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

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