Let ƒ be a strictly increasing, continuous function on (a, b). Let A = lim f(x) and B = lim f(x). Show that xa+ f-1 is differentiable in (A, B) and 1 f'(f-1(y))
Let ƒ be a strictly increasing, continuous function on (a, b). Let A = lim f(x) and B = lim f(x). Show that xa+ f-1 is differentiable in (A, B) and 1 f'(f-1(y))
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:Let f be a strictly increasing, continuous function on (a, b). Let A = lim f(x) and B= lim f(x). Show that
fl is differentiable in (A, B) and
(5*)'») =
f'(f-" (4))
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