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If a function f(x) is defined as f(x) = ...

If a function f(x) is defined as `f(x) = {{:(-x",",x lt 0),(x^(2)",",0 le x le 1),(x^(2)-x + 1",",x gt 1):}` then
a. f(x) is differentiable at x = 0 and x = 1
b. f(x) is differentiable at x = 0 but not at x = 1
c. f(x) is not differentiable at x = 1 but not at x = 0
d. f(x) is not differentiable at x = 0 and x = 1

A

f(x) is differentiable at x = 0 and x = 1

B

f(x) is differentiable at x = 0 but not at x = 1

C

f(x) is not differentiable at x = 1 but not at x = 0

D

f(x) is not differentiable at x = 0 and x = 1

Text Solution

Verified by Experts

The correct Answer is:
D
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