Let f(x) = √5 + 8x|. Then for x < -5, f'(x) The left-hand derivative of f(x) at x = The right-hand derivative of f(x) at x is Is f(x) differentiable at x = -? Answer (Y/N): 8 Mark the following statements T or F, according as to whether they are true or false: = f(x) is differentiable on the closed interval (-∞, - ] f(x) is differentiable on the open interval (-∞, - §) f(x) is differentiable on the closed interval [-, ∞) f(x) is differentiable on the open interval (-5,00)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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| Let ƒ(x) = |5 + 8x|.
Then for x < - §, f'(x) = .
The left-hand derivative of f(x) at x =
The right-hand derivative of f(x) at x
=
is
is
Is f(x) differentiable at x = ? Answer (Y/N):
8
Mark the following statements T or F, according as to whether they are true
or false:
- §)
f(x) is differentiable on the closed interval (-∞, - §]
f(x) is differentiable on the open interval (-∞,
f(x) is differentiable on the closed interval [-53, ∞)
f(x) is differentiable on the open interval (-5, ∞)
-
Transcribed Image Text:| Let ƒ(x) = |5 + 8x|. Then for x < - §, f'(x) = . The left-hand derivative of f(x) at x = The right-hand derivative of f(x) at x = is is Is f(x) differentiable at x = ? Answer (Y/N): 8 Mark the following statements T or F, according as to whether they are true or false: - §) f(x) is differentiable on the closed interval (-∞, - §] f(x) is differentiable on the open interval (-∞, f(x) is differentiable on the closed interval [-53, ∞) f(x) is differentiable on the open interval (-5, ∞) -
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