1. Define the function [In(x + 1)] cosh x + tan x ,x > 0 (sinh x) sec-(x - 2) f(x) = , X < 0 a. Show that f is continuous at x = 0. b. Is f differentiable at = 0? Justify your answer.
1. Define the function [In(x + 1)] cosh x + tan x ,x > 0 (sinh x) sec-(x - 2) f(x) = , X < 0 a. Show that f is continuous at x = 0. b. Is f differentiable at = 0? Justify your answer.
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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![1. Define the function
S (In (x + 1)] cosh x + tan x
,x >0
f (x) =
(sinh x) sec-(x – 2)
,x < 0
a. Show that f is continuous at x = 0.
b. Is f differentiable at x = 0? Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbeb78f4a-4d91-458c-8c5a-ee997c74d598%2F7e9aeebb-dbd3-449d-8fa4-18d05a379132%2Faknq73k_processed.png&w=3840&q=75)
Transcribed Image Text:1. Define the function
S (In (x + 1)] cosh x + tan x
,x >0
f (x) =
(sinh x) sec-(x – 2)
,x < 0
a. Show that f is continuous at x = 0.
b. Is f differentiable at x = 0? Justify your answer.
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