In order to differentiate the exponential function. f (x) = a x, f (x) = ax, we cannot use power rule as we require the exponent to be a fixed number and the base to be a variable. Instead, we're going to …

In this article, we will study the concept of the derivative of the exponential function and its formula, proof, and graph along with some solved examples to understand better. What is Derivative of …

Nov 16, 2022 · In this section we derive the formulas for the derivatives of the exponential and logarithm functions.

To differentiate an exponential function, copy the exponential function and multiply it by the derivative of the power. For example, to differentiate f (x)=e2x, take the function of e2x and multiply it by the …

Aug 13, 2025 · In this article, we will learn about the derivative of the exponential function, its formula, proof of the formula, and examples in detail. But before learning about the differentiation of …

The following diagram shows the derivatives of exponential functions. Scroll down the page for more examples and solutions on how to use the derivatives of exponential functions.

Nov 14, 2025 · In this section, we explore derivatives of exponential and logarithmic functions. As we discussed in Introduction to Functions and Graphs, exponential functions play an important role in …

The derivative of e x is quite remarkable. The expression for the derivative is the same as the expression that we started with; that is, e x! What does this mean? It means the slope is the same as …

Use the derivative of the natural exponential function, the quotient rule, and the chain rule.

Formulas and examples of the derivatives of exponential functions, in calculus, are presented. Several examples, with detailed solutions, involving products, sums and quotients of exponential functions …