Question

For which values of $x$ is the slope of the line tangent to the graph of $h(x) = \frac{1}{2}x^4 - \frac{14}{3}x^3 + 10x^2 - 9$ horizontal? If there are multiple values, enter them as a comma-separated list. Enter DNE if no such values exist. $x = $

Name: for which values of x is the slope of the line tangent to the graph of hx frac12x4 frac143x3 10x2 9 horizontal if there are multiple values enter them as a comma separated list enter dne if 70938
Uploaded: 2023-02-28T02:26:43-08:00
Duration: 1 min 23 s
Channel: Zhumagali Shomanov
Description: for which values of x is the slope of the line tangent to the graph of hx frac12x4 frac143x3 10x2 9 horizontal if there are multiple values enter them as a comma separated list enter dne if 70938

          For which values of $x$ is the slope of the line tangent to the graph of $h(x) = \frac{1}{2}x^4 - \frac{14}{3}x^3 + 10x^2 - 9$ horizontal? If there are multiple values, enter them as a comma-separated list. Enter DNE if no such values exist.
$x = $

$for which values of x is the slope of the line tangent to the graph of hx frac12x4 frac143x3 10x2 9 horizontal if there are multiple values enter them as a comma separated list enter dne if 70938$

Added by Lorena D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

02/28/2023

Step 1

This means we need to find the values of $x$ for which $h'(x) = 0$. Show more…

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For which values of $x$ is the slope of the line tangent to the graph of $h(x) = \frac{1}{2}x^4 - \frac{14}{3}x^3 + 10x^2 - 9$ horizontal? If there are multiple values, enter them as a comma-separated list. Enter DNE if no such values exist. $x = $