Differentiate the function.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Differentiate the function.

Any help appreciated! Thanks!

 

y = 3ex + 3
8
VX
Transcribed Image Text:y = 3ex + 3 8 VX
Expert Solution
Step 1

y=3ex+8x3

Differentiating with respect to x

dydx=ddx(3ex+8x3)=ddx(3ex+8x-13)=3ex+8*(-13)x-13-1=3ex-83x-43=3ex-83x43

[Formula used

ddx(ex)=ex ; ddx(xn)=nxn-1]

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Follow-up Question

Thank you! I am a bit lost because the equations are a bit messy with the computer. Would it be 3e^x - 83x^43? I tried that already and it didn't work. 

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