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Question 11 Second Derivative Test 1. Find the first derivative of the function g(x) = 62 – 7222 + 270r. g'(z) = %3D 2. Find the second derivative of the function. g"(x) =| 3. Evaluate g"(3). g"(3) = 4. Is the graph of g(x) concave up or concave down at T = 3? At a = 3 the graph of g(x) is concave 5. Does the graph of g(x) have a local minimum or local maximum at a = 3? At z = 3 there is a local

Question 11 Second Derivative Test 1. Find the first derivative of the function g(x) = 62 – 7222 + 270r. g'(z) = %3D 2. Find the second derivative of the function. g"(x) =| 3. Evaluate g"(3). g"(3) = 4. Is the graph of g(x) concave up or concave down at T = 3? At a = 3 the graph of g(x) is concave 5. Does the graph of g(x) have a local minimum or local maximum at a = 3? At z = 3 there is a local

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 11 Second Derivative Test 1. Find the first derivative of the function g(x) = 6x – 72a2 + 270z. g'(z) = %3D 2. Find the second derivative of the function. g"(x) = 3. Evaluate g"(3). g"(3) = 4. Is the graph of g(x) concave up or concave down at r = 3? At r = 3 the graph of g(x) is concave 5. Does the graph of g(x) have a local minimum or local maximum at z = 3? At z = 3 there is a local
Transcribed Image Text:Question 11 Second Derivative Test 1. Find the first derivative of the function g(x) = 6x – 72a2 + 270z. g'(z) = %3D 2. Find the second derivative of the function. g"(x) = 3. Evaluate g"(3). g"(3) = 4. Is the graph of g(x) concave up or concave down at r = 3? At r = 3 the graph of g(x) is concave 5. Does the graph of g(x) have a local minimum or local maximum at z = 3? At z = 3 there is a local
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