# What is the derivative of #e^(5ln(tan 5x))#?

EDIT: Sorry, I didn't catch that you wanted the derivative. Had to come back to redo it.

Using,

And,

we get,

from there, we can use the chain rule

where

which gives,

In total that becomes,

By signing up, you agree to our Terms of Service and Privacy Policy

The derivative of ( e^{5 \ln(\tan(5x))} ) with respect to ( x ) is ( \frac{d}{dx}\left(e^{5 \ln(\tan(5x))}\right) = 5\tan(5x)\sec^2(5x) ).

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7