(a) Find the slope of the curve y=x2-3x-2 at the point P(2, - 4) by finding the limiting value of the slope of the secant lines through point P. (b) Find an equation of the tangent line to the curve at P(2, - 4)

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
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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(a) Find the slope of the curve y =x - 3x- 2 at the point P(2, - 4) by finding the limiting value of the slope of the secant lines through point P.
(b) Find an equation of the tangent line to the curve at P(2, – 4).
(a) The slope of the curve at P(2, – 4) is
(Simplify your answer.)
Transcribed Image Text:(a) Find the slope of the curve y =x - 3x- 2 at the point P(2, - 4) by finding the limiting value of the slope of the secant lines through point P. (b) Find an equation of the tangent line to the curve at P(2, – 4). (a) The slope of the curve at P(2, – 4) is (Simplify your answer.)
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