The set of all points where the function ⨍ (x)=1-e-x2 is differentiable is

fx=1-e-x2 f1x=121-e-x2-e-x2-2x =xe-x21-e-x2 is not differentiable if 1-e-x2=0 1=e-x2⇒x=0 f is not differentiable at x=0 ∴ f is differentiable in -∞, ∞-0

The set of all points where the function ⨍ (x)=1-e-x2 is differentiable is

fx=1-e-x2 f1x=121-e-x2-e-x2-2x =xe-x21-e-x2 is not differentiable if 1-e-x2=0 1=e-x2⇒x=0 f is not differentiable at x=0 ∴ f is differentiable in -∞, ∞-0

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

The set of all points where the function $⨍ (x)= \sqrt{1 - e^{- x^{2}}}$ is differentiable is

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

$(0, \infty)$

$(- \infty, \infty)$

$(- \infty, \infty) - \{0\}$

$(- 1, \infty)$

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$f (x) = \sqrt{1 - e^{- x^{2}}} f^{1} (x) = \frac{1}{2 \sqrt{1 - e^{- x^{2}}}} (- e^{- x^{2}}) (- 2 x) = \frac{{xe}^{- x^{2}}}{\sqrt{1 - e^{- x^{2}}}} is not differentiable if 1 - e^{- x^{2}} = 0 1 = e^{- x^{2}} \Rightarrow x = 0 f is not differentiable at x = 0 ∴ f is differentiable in (- \infty, \infty) - \{0\}$