Derivative of Cos(pi*x^2)

Derivative of Cos(pi*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 Cos(pi*x^2):


(cos(pi*x^2))'

-sin(pi*x^2)*(pi*x^2)'

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

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

-sin(pi*x^2)*(0*x^2+pi*2*x^(2-1))

-sin(pi*x^2)*(0*x^2+pi*2*x)

2*pi*x*(-sin(pi*x^2))

-2*pi*x*sin(pi*x^2)

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

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