Show that the function F(x) = is Differentiable at x = 0, if m 1.

Question

Show that the function F(x) = is Differentiable at x = 0, if m > 1.

Philoid · Accepted Answer

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

Show that the function F(x) = isDifferentiable at x = 0, if m > 1.