# How do you find the derivative of #cos(pi x)#?

Let,

Using Chain Rule :

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To find the derivative of ( \cos(\pi x) ), you can use the chain rule of differentiation. The chain rule states that if you have a function inside another function, the derivative is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.

The derivative of ( \cos(\pi x) ) with respect to ( x ) is:

[ \frac{d}{dx}(\cos(\pi x)) = -\pi \sin(\pi x) ]

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