# How do you find the derivative of # f(x) = 3xsin(2x)^2#?

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To find the derivative of f(x) = 3xsin(2x)^2, you would apply the product rule and chain rule. The derivative is:

f'(x) = 3sin(2x)^2 + 12xsin(2x)cos(2x).

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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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