# How to differentiate 2^{x}?

Differentiation is one of the most important concepts in the branch of mathematics called calculus. It has many applications, which includes finding the slope of a curve at a point given.

## Answer: The derivative of 2^{x} is 2^{x }log_{e} 2.

Let's understand in detail.

**Explanation:**

We need to find the derivative of 2^{x}.

Now, we know that derivative of e^{x} is e^{x}.

We can also write that derivative of e^{x} log_{e}e = e^{x}.

Similarly, the derivative of a^{x} where a is any constant is a^{x }log_{e}a.

So, d/dx (2^{x}) = 2^{x }log_{e} 2.

Check out the online derivatives calculator.