# Lhd=rhd

Printable View

• May 5th 2011, 09:22 AM
ayushdadhwal
Lhd=rhd
Is there is any example of function in which LEFT HAND DERIVATIVE =RIGHT HAND DERIVATIVE but still the function is not differentiable
is it possible in discontinuous function for example in floor function LHD=RHD =(0) but still floor x is not differentiable at integer.
• May 5th 2011, 07:11 PM
mr fantastic
Quote:

Originally Posted by ayushdadhwal
Is there is any example of function in which LEFT HAND DERIVATIVE =RIGHT HAND DERIVATIVE but still the function is not differentiable
is it possible in discontinuous function for example in floor function LHD=RHD =(0) but still floor x is not differentiable at integer.

What about $f(x) = \frac{x^2 - 1}{x+1}$, for example?