Derivative of 2x FAQs

What is Derivative?

A derivative represents the rate at which a function is changing at a particular point. It gives us information about how the function is behaving, whether it’s increasing, decreasing, or staying constant.

Write the Formula for Derivative of 2^x.

The formula for derivative of 2^x is:

(d/dx) 2^x= 2^x· ln 2

What is the Derivative of 2^(-x)?

Derivative of 2^(-x) is 2^(-x)·ln(-x)·(-1)

What are the Different Methods to Prove Derivative of 2^x?

The different methods to prove derivative of 2^x are:

• By using First Principle of Derivative
• By using Logarithms

What is the Derivative of Negative 2^x?

Derivative of negative 2^x i.e., -2^x is (-2^x· ln 2).

What is Derivative of a^x?

Derivative of a^x is a^x·lna.

What is the Derivative of 2·2^x?

Derivative of 2·2^x or 2^x+1 is 2^x+1·ln 2

Derivative of 2^x is 2^xln2. The Derivative of 2^x refers to the process of finding change in 2^x function to the independent variable. The method of finding the derivative for 2^x functions is referred to as exponential differentiation.

Let’s know more about Derivative of 2^x , its formula and proof in detail below.