Evaluate (d)/(d x)(x^e+e^x)

Name: Problem 10, Chapter 3: Calculus: Early Transcendentals
Uploaded: 2020-06-11T01:52:36-08:00
Duration: 1 min 25 s
Channel: Jonathon Brumley
Description: Evaluate (d)/(d x)(x^e+e^x)

step 1 The important part of this particular problem is the difference between having a variable as a b

Question

$$\text { Evaluate } \frac{d}{d x}\left(x^{e}+e^{x}\right)$$

   $$\text { Evaluate } \frac{d}{d x}\left(x^{e}+e^{x}\right)$$

Calculus: Early Transcendentals

William Briggs, Lyle… 3rd Edition

Chapter 3, Problem 10

Instant Answer

Solved by Expert Jonathon Brumley

06/11/2020

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We want to find its derivative. Show more…

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$$\text { Evaluate } \frac{d}{d x}\left(x^{e}+e^{x}\right)$$

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Key Concepts

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Exponential function differentiation deals with functions where the variable appears in the exponent, especially when the base is the mathematical constant e. The derivative of e^x is unique in that it remains e^x, a property that simplifies many problems in calculus involving growth and decay processes.

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