5. 2 Let f(x) = 5x4. +8√x - 3. x² (a) Find f'(x). (b) Find an equation for the tangent line to the graph of f(x) at x = 1.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
icon
Related questions
Question
100%

show all work

2
Let f(x) = 5x4. +8√x - 3.
x²
(a) Find f'(x).
(b) Find an equation for the tangent line to the graph of f(x) at x = 1.
6.
Let f(x) = x³ + 6x² - 15x - 10.
a) Find the intervals of increase/decrease of the function.
b) Find the local maximum and minimum points.
c) Find the intervals on which the graph is concave up/down
d) Find the inflection point(s).
5.
Transcribed Image Text:2 Let f(x) = 5x4. +8√x - 3. x² (a) Find f'(x). (b) Find an equation for the tangent line to the graph of f(x) at x = 1. 6. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b) Find the local maximum and minimum points. c) Find the intervals on which the graph is concave up/down d) Find the inflection point(s). 5.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax