Find all the values of z where the graph of f(r) = 2x - 36z + 192z - 10 has a horizontal tangent line. The smaller one is x = and the larger one is x=

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...
Question
Find all the values of z where the graph of f() = 2x - 36z + 192x – 10 has a horizontal tangent
line.
The smaller one is x =
and the larger one is x =
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Transcribed Image Text:Find all the values of z where the graph of f() = 2x - 36z + 192x – 10 has a horizontal tangent line. The smaller one is x = and the larger one is x = Question Help: D Post to forum Submit Question W N US pct c CED 7. 8 WE E RI T Y H.
Expert Solution
Step 1

The given curve is 

       f(x) = 2x3—36x2+192x—10

Horizontal tangent means the tangent which are parallel to the x axis so slope of the tangent will be zero.

Slope of the tangent is equal to derivative of the curve.

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