Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x) = 2x for 5 < x≤ 11 Is f(x) continuous at x = 5? O Yes O No Is f(x) differentiable at x = 5? OYes O No
Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x) = 2x for 5 < x≤ 11 Is f(x) continuous at x = 5? O Yes O No Is f(x) differentiable at x = 5? OYes O No
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.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 61E
Related questions
Question
![Determine if the function f(x) is continuous and/or differentiable at x = 5?
x+5 for 5≤x≤5
f(x)=
2x for 5 < x≤ 11
Is f(x) continuous at x = 5?
OYes
O No
Is f(x) differentiable at x = 5?
O Yes
O No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b31dc54-6dc9-4cd6-a3e4-011bbb782cfc%2F19e46c8b-1b66-456e-8455-ae634e1a64a1%2Fyhe61ph_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine if the function f(x) is continuous and/or differentiable at x = 5?
x+5 for 5≤x≤5
f(x)=
2x for 5 < x≤ 11
Is f(x) continuous at x = 5?
OYes
O No
Is f(x) differentiable at x = 5?
O Yes
O No
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