2. Find the equation of the tangent line to the curve y = x2 - 2x -3 that is parallel to the line x +y 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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2. Find the equation of the tangent line to the curve y = x² – 2x – 3 that is
parallel to the line x + y = 1.
3. Find the equation of the tangent line to the curve y = x² – 3x +4 that is
perpendicular to the line x – y = -1.
4. Suppose the function is defined by y = f(x) = x² – x
a. Find the average rate of change of y with respect to x over the interval
(1, 3].
b. Find the instantaneous rate of change of y with respect to x at the point
x = -1.
Transcribed Image Text:2. Find the equation of the tangent line to the curve y = x² – 2x – 3 that is parallel to the line x + y = 1. 3. Find the equation of the tangent line to the curve y = x² – 3x +4 that is perpendicular to the line x – y = -1. 4. Suppose the function is defined by y = f(x) = x² – x a. Find the average rate of change of y with respect to x over the interval (1, 3]. b. Find the instantaneous rate of change of y with respect to x at the point x = -1.
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