![]() Is the Derivative of Exponential Function e x the Exponential Function? Since the first derivative of exponential function e x is e x, therefore if we differentiate it further, the derivative will always be e x. ![]() We know that ln e = 1 and if a = e, the derivative of exponential function e x is given by e x ln e = e x How to Find the nth Derivative of Exponential Function e x? The derivative of the exponential function a x is given by f'(x) = a x ln a. Why is the Derivative of Exponential Function e x itself? The derivative of exponential function e x is the function itself, that is, if f(x) = e x, then f'(x) = e x. What is the Derivative of Exponential Function e x? The derivative of exponential function f(x) = a x, a > 0 is the product of exponential function a x and natural log of a, that is, f'(x) = a x ln a. ![]() FAQs on Derivative of Exponential Function What is the Derivative of Exponential Function? ![]()
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