# What is the derivative of #f(x)=cos(pi*x^2)#?

According to standard differentiation rules, a function's derivative of its cosine is equal to the function's negative sine times its derivative.

Using this formula results in:

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The derivative of ( f(x) = \cos(\pi x^2) ) is ( f'(x) = -2\pi x \sin(\pi x^2) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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