For f(x) = x², the instantaneous rate of change is known to be 12 at x =2. Find the equation of the tangent line to the graph of y = f(x) at the point with x-coordinate 2. The equation of the tangent line to the graph at the point with x-coordinate 2 is (Type an equation. Use integers or fractions for any numbers in the equation.)

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
For f(x) = x², the instantaneous rate of change is known to be 12 at x =2. Find the equation of the tangent line to the graph of y= f(x) at the point with x-coordinate 2.
The equation of the tangent line to the graph at the point with x-coordinate 2 is
(Type an equation. Use integers or fractions for any numbers in the equation.)
C
Transcribed Image Text:For f(x) = x², the instantaneous rate of change is known to be 12 at x =2. Find the equation of the tangent line to the graph of y= f(x) at the point with x-coordinate 2. The equation of the tangent line to the graph at the point with x-coordinate 2 is (Type an equation. Use integers or fractions for any numbers in the equation.) C
Expert Solution
steps

Step by step

Solved in 3 steps with 21 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