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21.L. Let f be in Class C' on a neighborhood of a point c in RP and with values in Rr. If Df(c) is one-one and has range equal to Rº, then there exists a positive number 8 such that if x – c| < 3, then Df(x) is one-one and has range equal to Rr.

21.L. Let f be in Class C' on a neighborhood of a point c in RP and with values in Rr. If Df(c) is one-one and has range equal to Rº, then there exists a positive number 8 such that if x – c| < 3, then Df(x) is one-one and has range equal to Rr.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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21.L. Let f be in Class C' on a neighborhood of a point c in R and with values in Rr. If Df(c) is one-one and has range equal to RP, then there exists a positive number ô such that if x – c[ < 8, then Df(x) is one-one and has range equal to RP.
Transcribed Image Text:21.L. Let f be in Class C' on a neighborhood of a point c in R and with values in Rr. If Df(c) is one-one and has range equal to RP, then there exists a positive number ô such that if x – c[ < 8, then Df(x) is one-one and has range equal to RP.
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