GATE EE 2017 (Set 1) Question 26: Differentiability of a Piecewise Function

Electrical Engineering > GATE 2017 Set-1 > Continuity and Differentiability

Contributed by: Dr. Sarah Chen

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A function f(x) is defined as

where x∈R, Which one of the following statements is TRUE?

A

f(x) is NOT differentiable at x=1 for any values of a and b.

B

f(x) is differentiable at x=1 for the unique values of a and b.

C

f(x) is differentiable at x=1 for all values of a and b such that a+b=e.

D

f(x) is differentiable at x=1 for all values of a and b.

Check Answer

Explanation

Correct : b

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