Geometrically, derivative at a point is the slope of the tangent to a curve at that point. If that slope is positive, the quantity is increasing, if it is negative, the quantity is decreasing.

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Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as well as implicit differentiation and …

The derivative of e^2x with respect to x is 2e^2x. It can be mathematically written as d/dx (e^2x) = 2e^2x (or) (e^2x)' = 2e^2x. Let us find the derivative of e^2x by using the first principle, chain …

Jul 23, 2025 · In this article, we will learn about the derivative of e2x and its formula including the proof of the formula using the first principle of derivatives, product rule, and chain rule in detail.

Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate …

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 have to start with the definition of the …