Derivative of 10cos(sin(x^2-4))

Derivative of 10cos(sin(x^2-4)). 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 10cos(sin(x^2-4)): 


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

(10)'*cos(sin(x^2-4))+10*(cos(sin(x^2-4)))'

0*cos(sin(x^2-4))+10*(cos(sin(x^2-4)))'

0*cos(sin(x^2-4))+10*-sin(sin(x^2-4))*(sin(x^2-4))'

0*cos(sin(x^2-4))+10*-sin(sin(x^2-4))*cos(x^2-4)*(x^2-4)'

0*cos(sin(x^2-4))+10*-sin(sin(x^2-4))*cos(x^2-4)*((x^2)'+(-4)')

0*cos(sin(x^2-4))+10*-sin(sin(x^2-4))*cos(x^2-4)*(2*x^(2-1)+(-4)')

0*cos(sin(x^2-4))+10*-sin(sin(x^2-4))*cos(x^2-4)*(2*x+0)

0*cos(sin(x^2-4))+10*2*x*(-sin(sin(x^2-4)))*cos(x^2-4)

0*cos(sin(x^2-4))+10*-2*x*sin(sin(x^2-4))*cos(x^2-4)

-20*x*sin(sin(x^2-4))*cos(x^2-4)

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

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