# How do you find the derivative for #f(x) = sin^2 x#?

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To find the derivative of ( f(x) = \sin^2 x ), you can use the chain rule. First, differentiate the outer function (\sin^2 x) with respect to its inner function (\sin x), which is (2\sin x). Then, differentiate the inner function (\sin x) with respect to (x), which is (\cos x). Multiply these derivatives together to get the final result: (f'(x) = 2\sin x \cos x).

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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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