BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 4, Problem 13P
To determine

The values of c for which the curve have inflection points..

Expert Solution

Explanation of Solution

Given information:

The equation is,

  y=cx3+ex

Calculations:

Here the given equation is,

  y=cx3+ex

Now to get the inflection point, we have to get the second derivative.

  y=cx3+exy'=3cx2+exy''=6cx+ex

If y''=0

  6cx+ex=06cx=exc=ex6x

Therefore for c=ex6x the curve has inflection points.

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