# How do you find the derivative of #ln((4x^2)+9)# and what are the intervals for which the results are valid?

We have to use the chain rule, so:

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

To find the derivative of ln((4x^2) + 9), you use the chain rule and the derivative of the natural logarithm function. The derivative is (8x) / ((4x^2) + 9). This derivative is valid for all real numbers x such that (4x^2) + 9 > 0, which implies that x is in the interval (-3/2, 3/2).

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