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Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph.
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Since 3 3 is constant with respect to x x, the derivative of 3e3x 3 e 3 x with respect to x x is 3 d dx[e3x] 3 d d x [e 3 x]. 3 d dx [e3x] 3 d d x [e 3 x] Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [f (g (x))] is f '(g(x))g'(x) f ′ (g (x)) g ′ (x) where f (x) = ex f (x) = e x and g(x) = 3x g (x) = 3 x.
The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation).
Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate forms.
5 cze 2022 · The derivative of e 3x is 3e 3x. The function e^3x is an exponential function with an exponent 3x. In this note, we will find the derivative of e to the power 3x by the first principle of derivatives and by the chain rule of derivatives.
Differentiate using the Exponential Rule which states that d dx [ax] d d x [a x] is axln(a) a x ln (a) where a a = e e. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
5 sie 2020 · How to find the derivative of e^3x using the Chain Rule: Using the chain rule, the derivative of e^3x is 3e^3x. Finally, just a note on syntax and notation: the exponential function e^3x is sometimes written in the forms shown below (the derivative of each is as per the calculations above).