# How do you find the derivative of #ln(e^(4x)+3x)#?

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

To find the derivative of ln(e^(4x) + 3x), you can use the chain rule. The derivative of ln(u) is 1/u multiplied by the derivative of u with respect to x. Here, u = e^(4x) + 3x. The derivative of u with respect to x is the sum of the derivatives of its individual components. The derivative of e^(4x) is 4e^(4x), and the derivative of 3x is 3. Therefore, the derivative of ln(e^(4x) + 3x) is (1 / (e^(4x) + 3x)) * (4e^(4x) + 3).

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