Let f(x) = 12 + 5x]. Then for x <-, f'(x) = -2 The left-hand derivative of f(x) at x = - is The right-hand derivative of f(x) at x is Is f(x) differentiable at x = -? Answer (Y/N): N F Mark the following statements T or F, according as to whether they are true or false: f(x) is differentiable on the closed interval (-∞, -1 T f(x) is differentiable on the open interval (-∞, -3) f(x) is differentiable on the closed interval [-3,00) f(x) is differentiable on the open interval (-2,00) F T LL =- -
Let f(x) = 12 + 5x]. Then for x <-, f'(x) = -2 The left-hand derivative of f(x) at x = - is The right-hand derivative of f(x) at x is Is f(x) differentiable at x = -? Answer (Y/N): N F Mark the following statements T or F, according as to whether they are true or false: f(x) is differentiable on the closed interval (-∞, -1 T f(x) is differentiable on the open interval (-∞, -3) f(x) is differentiable on the closed interval [-3,00) f(x) is differentiable on the open interval (-2,00) F T LL =- -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Can someone help me please I have the bottom ones correct but the top doesn't make sense to me.
![Let f(x) = 12 + 5x1.
Then for x < -, f'(x) = -2
The left-hand derivative of f(x) at x = - is
The right-hand derivative of f(x) at x =
Is f(x) differentiable at x = -? Answer (Y/N): N
Mark the following statements T or F, according as to whether they are true or false:
5
F
f(x) is differentiable on the closed interval (-∞, -]
f(x) is differentiable on the open interval (-∞, -3)
f(x) is differentiable on the closed interval [-²,00)
f(x) is differentiable on the open interval (-2,00)
T
2/5
F
T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8afd835b-b164-4187-8cbf-01a7fb9b88d5%2Febb14f19-bb6e-4054-86b1-137d20afded0%2Fo2cqvul_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x) = 12 + 5x1.
Then for x < -, f'(x) = -2
The left-hand derivative of f(x) at x = - is
The right-hand derivative of f(x) at x =
Is f(x) differentiable at x = -? Answer (Y/N): N
Mark the following statements T or F, according as to whether they are true or false:
5
F
f(x) is differentiable on the closed interval (-∞, -]
f(x) is differentiable on the open interval (-∞, -3)
f(x) is differentiable on the closed interval [-²,00)
f(x) is differentiable on the open interval (-2,00)
T
2/5
F
T
Expert Solution
Step 1
The given function is
=
By the definition of the derivative, f(x) is said to be differentiable at x=a,
if exists
Step by step
Solved in 4 steps with 3 images
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