*15. (a) Let f be a function such at |f(x)l s x2 for all x. Prove that f is IS differentiable at 0. (If you have done Problem 14 you should be able to do this.) (b) This result can be generalized if x2 is replaced by lg(x)I, where g has what property?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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*15. (a) Let f be a function such at |f(x)l s x2 for all x. Prove that f is
IS
differentiable at 0. (If you have done Problem 14 you should be able to
do this.)
(b) This result can be generalized if x2 is replaced by lg(x)I, where g has
what property?
Transcribed Image Text:*15. (a) Let f be a function such at |f(x)l s x2 for all x. Prove that f is IS differentiable at 0. (If you have done Problem 14 you should be able to do this.) (b) This result can be generalized if x2 is replaced by lg(x)I, where g has what property?
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