Continuity and DifferentiabilityMedium
Question
If f(x) = x. 
,x ≠ 0 (a > 0), f(0) = 0 then-
,x ≠ 0 (a > 0), f(0) = 0 then-Options
A.f is differentiable at x = 0
B.f is not differentiable at x = 0
C.f is not continuous at x = 0
D.None of these
Solution
f(x) = x 
y = f(x) is differentiable at x = a
so differentiable at x = 0
1 ≠ -1
not differentiable at x = 0
y = f(x) is differentiable at x = a
so differentiable at x = 0
1 ≠ -1
not differentiable at x = 0
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