# How do you differentiate #f(x)=tan5x^3#?

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To differentiate ( f(x) = \tan(5x^3) ), you can use the chain rule. The derivative is:

[ f'(x) = \frac{d}{dx}(\tan(5x^3)) = \sec^2(5x^3) \cdot \frac{d}{dx}(5x^3) = \sec^2(5x^3) \cdot 15x^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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