The set of all points of differentiability of the function f(x)=e−|x| is

The set of all points of differentiability of the function $f (x) = e^{- | x |}$ is

A
$(0, \infty)$
B
$(- \infty, \infty)$
C
$[0, \infty)$
D
$(- \infty, \infty) ~ {0}$ or $R - \{0\}$

Solution:

$f (x) = \{\begin{array}{l} e^{- x}, x \geq 0 \\ e^{x}, x < 0 \end{array}, f^{'} (0 +) = - 1, f^{'} (0 -) = 1$

Related content

NCERT Books for Class 10- Download Free PDF (2023-2024)

NCERT Books for Class 11- Download Free PDF (2023-2024)

USA Full Form – United States of America

NRC Full Form – National Register of Citizens

Distance Speed Time Formula

Refractive Index Formula

Electric Current Formula

Ohm’s Law Formula

Wavelength Formula