Derivative of 12*x*cos(6x^2)

Derivative of 12*x*cos(6x^2). 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 12*x*cos(6x^2):


(12*x*cos(6*x^2))'

(12*x)'*cos(6*x^2)+12*x*(cos(6*x^2))'

((12)'*x+12*(x)')*cos(6*x^2)+12*x*(cos(6*x^2))'

(0*x+12*(x)')*cos(6*x^2)+12*x*(cos(6*x^2))'

(0*x+12*1)*cos(6*x^2)+12*x*(cos(6*x^2))'

12*cos(6*x^2)+12*x*(cos(6*x^2))'

12*cos(6*x^2)+12*x*-sin(6*x^2)*(6*x^2)'

12*cos(6*x^2)+12*x*-sin(6*x^2)*((6)'*x^2+6*(x^2)')

12*cos(6*x^2)+12*x*-sin(6*x^2)*(0*x^2+6*(x^2)')

12*cos(6*x^2)+12*x*-sin(6*x^2)*(0*x^2+6*2*x^(2-1))

12*cos(6*x^2)+12*x*-sin(6*x^2)*(0*x^2+6*2*x)

12*cos(6*x^2)+12*x*12*x*(-sin(6*x^2))

12*cos(6*x^2)+12*x*-12*x*sin(6*x^2)

12*cos(6*x^2)-(144*x^2*sin(6*x^2))

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

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