Find an equation of the tangent line to the graph of the function at the given point. h(x) = (x² - 3)(x³ – 2x), (-2, -4) y = Use a graphing utility to graph the function and the tangent line in the same viewing window. See Example 5. y y 10 10 10 -3 1 2 -3 1 3 -5 -10 -10 - 10 the y 10 -3 -1 -5 –10

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CR: Chapter Review
Problem 89E
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Find an equation of the tangent line to the graph of the function at the given point.
h(x) = (x2 - 3)(x³ – 2x), (-2, -4)
y =
Use a graphing utility to graph the function and the tangent line in the same viewing window. See Example 5.
y
y
y
10
10
10
5
5
-3
-2
-1
3
-3
3
-3
1
2
3
-5
-10
th
10-
-3
-1
-5
-10
Transcribed Image Text:Find an equation of the tangent line to the graph of the function at the given point. h(x) = (x2 - 3)(x³ – 2x), (-2, -4) y = Use a graphing utility to graph the function and the tangent line in the same viewing window. See Example 5. y y y 10 10 10 5 5 -3 -2 -1 3 -3 3 -3 1 2 3 -5 -10 th 10- -3 -1 -5 -10
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