# What is the derivative of #5^tanx#?

Using both sides of natural logs...

Applying log laws:

Implicit differentiation:

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The derivative of (5^{\tan(x)}) with respect to (x) is (5^{\tan(x)} \cdot \ln(5) \cdot \sec^2(x) \cdot \tan(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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