# What is the derivative of #log_2(3x-1)#?

You might already know that:

In order to use this, we have to apply the change of base rule:

Therefore:

Now we can differentiate the expression:

Next, we can use the chain rule:

- Take the derivative of the outer function..
- ...plug in the inner function.
- Multiply by the derivative of the inner function.

So:

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

The derivative of ( \log_2(3x-1) ) is ( \frac{3}{(3x-1) \ln(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