# How do you differentiate #ln(4x)#?

Based on the properties of logarithms:

so:

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

To differentiate ln(4x), you can use the chain rule of differentiation. The derivative of ln(u) with respect to x is 1/u times the derivative of u with respect to x. In this case, u = 4x. So, the derivative of ln(4x) with respect to x is 1/(4x) times the derivative of 4x with respect to x, which is 4. Therefore, the derivative of ln(4x) with respect to x is 4/(4x), which simplifies to 1/x.

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