For f(x) = x², the instantaneous rate of change is known to be - 6 at x = - 3. Find the equation of the tangent line to the graph of y = f(x) at the point with x-coordinate - 3. The equation of the tangent line to the graph at the point with x-coordinate - 3 is (Type an equation. Use integers or fractions for any numbers in the equation.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Topic Video
Question

Answer the following

For f(x) = x2, the instantaneous rate of change is known to be - 6 at x = - 3. Find the equation of the tangent line to the graph of y = f(x) at the point with x-coordinate
- 3.
The equation of the tangent line to the graph at the point with x-coordinate - 3 is.
(Type an equation. Use integers or fractions for any numbers in the equation.)
Transcribed Image Text:For f(x) = x2, the instantaneous rate of change is known to be - 6 at x = - 3. Find the equation of the tangent line to the graph of y = f(x) at the point with x-coordinate - 3. The equation of the tangent line to the graph at the point with x-coordinate - 3 is. (Type an equation. Use integers or fractions for any numbers in the equation.)
Expert Solution
Step 1

Given  that the slope of the tangent line of the curve fx=x2 and x = -3 is -6

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Fundamentals of Trigonometric Identities
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.
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
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