Consider the function g(t) =+ + 9t. (a) Find the critical points of g(t). (b) Use the Second Derivative Test to identify whether each critical point results in a local maximum, local minimum, or neither. Give the ordered pair(s) at which each local maximum/local minimum is located and label each one as a local maximum/local minimum (whichever is appropriate). If a critical point does not result in a local maximum/minimum, say so.

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
Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
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Consider the function g(t) = + 9t.
t
• (a) Find the critical points of g(t).
(b) Use the Second Derivative Test to identify whether each critical point
results in a local maximum, local minimum, or neither. Give the ordered pair(s)
at which each local maximum/local minimum is located and label each one as
a local maximum/local minimum (whichever is appropriate). If a critical point
does not result in a local maximum/minimum, say so.
Transcribed Image Text:1 Consider the function g(t) = + 9t. t • (a) Find the critical points of g(t). (b) Use the Second Derivative Test to identify whether each critical point results in a local maximum, local minimum, or neither. Give the ordered pair(s) at which each local maximum/local minimum is located and label each one as a local maximum/local minimum (whichever is appropriate). If a critical point does not result in a local maximum/minimum, say so.
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