Which are true?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose for a function h where its domain is R-{-2,2}
We know that
h'(0) = 0 y h(0) = 2
▪h'(x) > 0 si x € ]0,2[ 0 x € ]2, +∞[
▪h'(x) < 0 si x € ] -2,0[ ox]-∞, -2[
Consider the statements
1- In the interval ]2, +∞o[ is decreasing
2- It has maximum relative at (0,2)
Which are true?
A) both
B) None
C)
Just 1
D) Just 2
Transcribed Image Text:Suppose for a function h where its domain is R-{-2,2} We know that h'(0) = 0 y h(0) = 2 ▪h'(x) > 0 si x € ]0,2[ 0 x € ]2, +∞[ ▪h'(x) < 0 si x € ] -2,0[ ox]-∞, -2[ Consider the statements 1- In the interval ]2, +∞o[ is decreasing 2- It has maximum relative at (0,2) Which are true? A) both B) None C) Just 1 D) Just 2
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