Suppose is differentiable at
then equals
As we learnt in
Differentiability -
Let f(x) be a real valued function defined on an open interval (a, b) and (a, b).Then the function f(x) is said to be differentiable at
if
-
Now
so that must be finite as
exists But
can be finite only if
and
Therefore
Option 1)
Incorrect option
Option 2)
Incorrect option
Option 3)
Incorrect option
Option 4)
Correct option
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