f'(x) f"(re) = 2 = 2000.062 +1222 -2216 -122 +12

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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can you please explain in simple terms how they get the first derivative and the second derivative shown on the image?

= 2000.
3. Suppose that f(r)
.02. +6²-2216.r 1920. Find all
local and global maxima and minima of this function using the first
and second derivative tests for maxima and minima. Plot the function.
Is there a point of inflection? If so identify it and verify using the first
derivative test.
f'(x)
f"(x) =
= 2000 - 10626² +1224-2216
-1122 +12
Transcribed Image Text:= 2000. 3. Suppose that f(r) .02. +6²-2216.r 1920. Find all local and global maxima and minima of this function using the first and second derivative tests for maxima and minima. Plot the function. Is there a point of inflection? If so identify it and verify using the first derivative test. f'(x) f"(x) = = 2000 - 10626² +1224-2216 -1122 +12
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