Derivative of 2*cos(x^2)-4*x^2*sin(x^2)

Derivative of 2*cos(x^2)-4*x^2*sin(x^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 2*cos(x^2)-4*x^2*sin(x^2): 


(2*cos(x^2)-(4*x^2*sin(x^2)))'

(2*cos(x^2))'+(-(4*x^2*sin(x^2)))'

(2)'*cos(x^2)+2*(cos(x^2))'+(-(4*x^2*sin(x^2)))'

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

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

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

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

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

(4*x^2)'*sin(x^2)-4*x*sin(x^2)+4*x^2*(sin(x^2))'

((4)'*x^2+4*(x^2)')*sin(x^2)-4*x*sin(x^2)+4*x^2*(sin(x^2))'

(0*x^2+4*(x^2)')*sin(x^2)-4*x*sin(x^2)+4*x^2*(sin(x^2))'

(0*x^2+4*2*x^(2-1))*sin(x^2)-4*x*sin(x^2)+4*x^2*(sin(x^2))'

(0*x^2+4*2*x)*sin(x^2)-4*x*sin(x^2)+4*x^2*(sin(x^2))'

8*x*sin(x^2)-4*x*sin(x^2)+4*x^2*(sin(x^2))'

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

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

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

-8*x^3*cos(x^2)-(8*x*sin(x^2))-(4*x*sin(x^2))

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

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