Derivative of e2x by Logarithmic Differentiation

Logarithmic differentiation is used to differentiate exponential function and is thus used to find the derivative of e^2x.

let, y = e^2x

ln y = ln e^2x

ln y = 2x ln e (ln e = 1)

ln y = 2x

Differentiating both sides with respect to x,

(1/y) (dy/dx) = 2(1)

dy/dx = 2y

Substituting y = e^2x

d/dx(e^2x) = 2e^2x

Derivative of e^2x

Derivative of e^2x is 2e^2x. Derivative of e^2x refers to the process of finding the change in the exponential function e^2x with respect to the independent variable x. e^2x is an exponential functions that are power functions with the base of Euler’s Number.

In this article, we will learn in detail about the derivative of e to the power 2x, its formula, proof and examples based on it.

In this article, we will learn about the derivative of e^2x and its formula including the proof of the formula using the first principle of derivatives, product rule, and chain rule in detail.

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