4-x Given the curve a) Find the gradient of the curve at x=2 b) Show that the curve has only one critical point and determine whether the pint is maximum or minimum e) Find the coordinates of this point and the sketch the graph of the curve.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 26E
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Given the curve:
a) Find the gradient of the curve at x= 2
b) Show that the curve has only one critical point and determine whether the pint is maximum or
minimum
c) Find the coordinates of this point and the sketch the graph of the curve.
Transcribed Image Text:Given the curve: a) Find the gradient of the curve at x= 2 b) Show that the curve has only one critical point and determine whether the pint is maximum or minimum c) Find the coordinates of this point and the sketch the graph of the curve.
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