Consider the function H(x): = 23 + 2x - 1 10x + 2 if x > 3 if x < 3 Determine if H is differentiable at x = 0 using the limit definition of the derivative.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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Consider the function H(x) :
3
x + 2x
10x + 2
– 1
if x > 3
if x < 3
Determine if H is differentiable at x = 0 using the limit definition of the derivative.
Transcribed Image Text:Consider the function H(x) : 3 x + 2x 10x + 2 – 1 if x > 3 if x < 3 Determine if H is differentiable at x = 0 using the limit definition of the derivative.
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