2 Given the curve y = (a) Find the gradient of the curve at x = 2. (b) Show that the curve has only one critical point and determine whether the point is maximum or minimum. (c) Find the coordinate of this critical point and then sketch the graph of the curve.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Q2 Given the curve y =
(a) Find the gradient of the curve at x = 2.
(b) Show that the curve has only one critical point and determine whether the point is maximum
or minimum.
(c) Find the coordinate of this critical point and then sketch the graph of the curve.
Transcribed Image Text:Q2 Given the curve y = (a) Find the gradient of the curve at x = 2. (b) Show that the curve has only one critical point and determine whether the point is maximum or minimum. (c) Find the coordinate of this critical point and then sketch the graph of the curve.
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