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How do you differentiate #cos(pi*x^2)#?

1 Answer

Shwetank Mauria

Oct 3, 2016

Derivative of #cos(pi*x^2)# is #-2pixsin(pi*x^2)#

Explanation:

We can use Chain rule here. Let #f(x)=cos(pi*x^2)#. Then we can write it as

#f(x)=cosg(x)#, where #g(x)=pi*x^2#.

Then #(df)/(dx)=(df)/(dg)xx(dg)/(dx)#

= #-sin(pi*x^2)xxpixx2x#

= #-2pixsin(pi*x^2)#

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