3. Determine whether the statement are (always) frue or (ateast sometimes) false. is and 9 (a) If f differentiable differentiable at C not at f(o, then gof is not differentiable at C. () if f & differentiable, Invertible, and 'cx) #0 for interval I, then invers e fis all in some and (F-)'(2) = for all xE I. %3D differentiable f'(x)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. Determine whether the statement
ane (always) true or
( atleast sometimes)
false.
and g
is
differentiable at
at f(9, then g•f is
not
differentiable
not
differentiable
at C.
(b) If f & differentiable, Invertible, and ficx) #0 for
interval I, then invers efis
for all x E I
all
in
Some
differentiable
and (f")'(2) =
Fr
Transcribed Image Text:3. Determine whether the statement ane (always) true or ( atleast sometimes) false. and g is differentiable at at f(9, then g•f is not differentiable not differentiable at C. (b) If f & differentiable, Invertible, and ficx) #0 for interval I, then invers efis for all x E I all in Some differentiable and (f")'(2) = Fr
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