1. Find the first derivative of the function g(z) = 6z – 72z² + 270z. %3D = (z),6 2. Find the second derivative of the function. s(z) = 3. Evaluate g"(3). s'(3) = 4. Is the graph of g(z) concave up or concave down at I = 3? At z = 3 the graph of g(x) is concave 5. Does the graph of g(1) have a local minimum or local maximum at I = 3? At z = 3 there is a local
1. Find the first derivative of the function g(z) = 6z – 72z² + 270z. %3D = (z),6 2. Find the second derivative of the function. s(z) = 3. Evaluate g"(3). s'(3) = 4. Is the graph of g(z) concave up or concave down at I = 3? At z = 3 the graph of g(x) is concave 5. Does the graph of g(1) have a local minimum or local maximum at I = 3? At z = 3 there is a local
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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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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