# How do you differentiate #y=(e^(2x)+1)^3#?

You have to use the chain rule:

Putting it all together we have:

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

To differentiate ( y = (e^{2x} + 1)^3 ), you can use the chain rule.

First, differentiate the outer function ( u^3 ) with respect to ( u ), which gives ( 3u^2 ).

Then, differentiate the inner function ( e^{2x} + 1 ) with respect to ( x ), which is ( 2e^{2x} ).

Combine the results using the chain rule, so the final derivative is ( \frac{d}{dx} (e^{2x} + 1)^3 = 3(e^{2x} + 1)^2 \cdot 2e^{2x} ).

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