Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. f(x) = 4x2 + 9x f(x + h) = 4(x + h)² + 9(x+h) Step 1: Step 2: f(x + h) – f(x) = f(x + h) – f(x) Step 3: h Step 4: f'(x) = lim (x + h) – F(x) h Need Help? Master It

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
icon
Related questions
Question

I'm not really sure what I'm doing wrong for steps 2-4

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
f(x) = 4x2 + 9x
Step 1:
F(x + h) = 4(x+h)² + 9(x+h)
%3D
Step 2:
f(x + h) – f(x)
f(x + h) – f(x)
Step 3:
f(x + h) – f(x)
Step 4:
f '(x)
= lim
h→0
Need Help?
Master It
Transcribed Image Text:Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. f(x) = 4x2 + 9x Step 1: F(x + h) = 4(x+h)² + 9(x+h) %3D Step 2: f(x + h) – f(x) f(x + h) – f(x) Step 3: f(x + h) – f(x) Step 4: f '(x) = lim h→0 Need Help? Master It
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning