# What is the derivative of #2ln(x)#?

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

Using first principles

An expansion on the prior answer

We know the definition of the derivative is:

Using our log laws:

The not so interesting way:

So know we can use the L'Hopitals rule:

Or we could use the initial way:

As we know:

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

The derivativeThe derivative of (The derivative of (2The derivative of (2 \The derivative of (2 \lnThe derivative of (2 \ln(xThe derivative of (2 \ln(x)\The derivative of (2 \ln(x)) isThe derivative of (2 \ln(x)) is (The derivative of (2 \ln(x)) is ( \fracThe derivative of (2 \ln(x)) is ( \frac{The derivative of (2 \ln(x)) is ( \frac{2The derivative of (2 \ln(x)) is ( \frac{2}{The derivative of (2 \ln(x)) is ( \frac{2}{xThe derivative of (2 \ln(x)) is ( \frac{2}{x} ).The derivative of (2 \ln(x)) is ( \frac{2}{x} ).The derivative of (2 \ln(x)) is ( \frac{2}{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