Show that the function F(x) = 
is
Differentiable at x = 0, if m > 1.
f(x) = 
(LHD at x = 0) = 
= 
= 
= 
= 
= 
= 0 * k [when - 1
]
(RHD at x = 0) = 
= 
= 
= 
= 0
Since, (LHD at x = 0) = (RHD at x = 0)
Hence, f(x) is differentiable at x = 0
7
Show that the function F(x) = is
Differentiable at x = 0, if m > 1.
f(x) =
(LHD at x = 0) =
=
=
=
=
=
= 0 * k [when - 1]
(RHD at x = 0) =
=
=
= = 0
Since, (LHD at x = 0) = (RHD at x = 0)
Hence, f(x) is differentiable at x = 0