If f has a relative minimum at x=a, then a. x = f(x) - 23 for any point b. f(a) ≤ f(x) c. f(a) ≤ f(x) f(x) for any point x close to the point a for any point x in the domain of f for any point x in the domain of f d. f(a)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If f has a relative minimum at x=a, then
a. x = f(x) - 23
for any point
for any point x close to the point a
for any point x in the domain of f
for any point x in the domain of f
b. f(a) ≤ f(x)
c. f(a) ≤ f(x)
O d. f(a) ≥ f(x)
Transcribed Image Text:If f has a relative minimum at x=a, then a. x = f(x) - 23 for any point for any point x close to the point a for any point x in the domain of f for any point x in the domain of f b. f(a) ≤ f(x) c. f(a) ≤ f(x) O d. f(a) ≥ f(x)
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Step 1

Relative maxima and minima 

Let f(x) be a function defined on domain D.

If x=c is relative minima then f(c)f(x) for any x in D.

If x=c is relative maxima then f(c)f(x) for any x in D.

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