Suppose that f(x) = 5x² – 4. (A) Find the slope of the line tangent to f(x) at x = 5. (B Find the instantaneous rate of change of f(x) at x = 5. (C) Find the equation of the line tangent to f(x) at æ = 5. y =

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
Suppose that f(x) = 5x² – 4.
(A) Find the slope of the line tangent to f(x) at x = 5.
(B) Find the instantaneous rate of change of f(x) at x = 5.
(C) Find the equation of the line tangent to f(x) at x = 5. y =
Transcribed Image Text:Suppose that f(x) = 5x² – 4. (A) Find the slope of the line tangent to f(x) at x = 5. (B) Find the instantaneous rate of change of f(x) at x = 5. (C) Find the equation of the line tangent to f(x) at x = 5. y =
Expert Solution
steps

Step by step

Solved in 2 steps with 2 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