Answered: For f(x)=x3, the instantaneous rate…

For f(x)=x3, the instantaneous rate of change is known to be 3 at x=−1. Find the equation of the tangent line to the graph of y=f(x) at the point with x-coordinate −1.

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...

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Question

For

f(x)=x3,

the instantaneous rate of change is known to be

x=−1.

Find the equation of the tangent line to the graph of

y=f(x)

at the point with x-coordinate

−1.

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For f(x)=x3​, the instantaneous rate of change is known to be 3 at x=−1. Find the equation of the tangent line to the graph of y=​f(x) at the point with​ x-coordinate −1.

For f(x)=x3, the instantaneous rate of change is known to be 3 at x=−1. Find the equation of the tangent line to the graph of y=f(x) at the point with x-coordinate −1.