JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

The set of points where the function

f\left( x \right) = \sqrt {1 - {e^{ - {x^2}}}}

is differentiable is

View answer and explanation

Correct option: B

\left( { - \infty ,0} \right) \cup \left( {0,\infty } \right)

Option B (

\left( { - \infty ,0} \right) \cup \left( {0,\infty } \right)

) is correct because the function is not differentiable at x=0 due to the nature of the exponential and square root.

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