.. Consider the following true statement:"If fix) is differentiable at x=a, then flx) is continuous atx=a." Is thereasoning below, correct or incorrect? Whyor why not?x2 + 1(A) Thefunctionf(x)=isnotcontinuousatx=2, therefore itcannotbe differentiable atx=2.x- 2(B) The function f(x) = |x-5| isnot differentiable atx=5, therefore it cannot be continuous at x=5.

Answered: Image /qna-images/answer/f0c3bf6c-0560-40b0-b98c-7940b080b0b2.jpg

differentiable at x=d, JX) iš čontinuðusatx=d." reasoning below, corrector incorrect? Whyorwhynot? x? +1 A) Thefunctionf(x)= isnotcontinuousatx=2, therefore itcannotbe differentiable atx=2. x- 2 (B) The function f(x) = |x-5| isnot differentiable atx=5, therefore it cannot be continuous at x=5.

differentiable at x=d, JX) iš čontinuðusatx=d." reasoning below, corrector incorrect? Whyorwhynot? x? +1 A) Thefunctionf(x)= isnotcontinuousatx=2, therefore itcannotbe differentiable atx=2. x- 2 (B) The function f(x) = |x-5| isnot differentiable atx=5, therefore it cannot be continuous at x=5.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

.. Consider the following true statement:
"If fix) is differentiable at x=a, then flx) is continuous atx=a." Is the
reasoning below, correct or incorrect? Whyor why not?
x2 + 1
(A) Thefunctionf(x)=
isnotcontinuousatx=2, therefore itcannotbe differentiable atx=2.
x- 2
(B) The function f(x) = |x-5| isnot differentiable atx=5, therefore it cannot be continuous at x=5.

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