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 …

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 …

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 …

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

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 …

Nov 20, 2021 · Let a> 0 and set f (x) = a x — this is what is known as an exponential function. Let's see what happens when we try to compute the derivative of this function just using the …

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.

Feb 8, 2025 · Learn how to differentiate exponential functions, including natural exponentials and base ‘a’ exponentials. Understand key formulas with step-by-step examples.

Just as when we found the derivatives of other functions, we can find the derivatives of exponential and logarithmic functions using formulas. As we develop these formulas, we need …

We will learn that the derivative of an exponential function is proportional to the value of the function itself. The constant of proportionality is found using the base of the exponential. The …