# How do you find the derivative of #log _ 3 (2x) / x^2#?

First, rewrite the logarithm in terms of the natural logarithm, since we know how to differentiate the natural logarithm.

Thus, the function can be written as

To differentiate this, use the quotient rule.

We can find each of these derivatives individually:

The first requires the chain rule:

Plugging both these back in yields

Simplify.

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