Find all points on the graph of ​f(x)=8x^2−26x+21.   where the slope of the tangent line is 0. The​ point(s) on the graph of ​f(x)=8x^2−26x+21 where the slope of the tangent line is 0​ is/are _____?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 4T
icon
Related questions
Topic Video
Question
100%
Find all points on the graph of
​f(x)=8x^2−26x+21.
 
where the slope of the tangent line is 0.
The​ point(s) on the graph of
​f(x)=8x^2−26x+21
where the slope of the tangent line is 0​ is/are _____?
Expert Solution
Step 1

Given :

f(x) = 8x^2-26x+21

Find:

All points where

The slope tangent line is zero.

We know tha slope will be zero when first derivative be zero.

So we need to find f'(x) = 16x-26

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Chain Rule
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage