Formula for Lhd and Rhd?

This means the right hand derivative of a function at a point a equals the left hand derivative at point a+h (h→0). Since the function is everywhere differentiable, so LHD at a+h equals RHD at a+h. So, RHD at a+h is also equal to f′(a). Now, by above reasoning, RHD at a+h equals LHD at a+2h.

What is the formula for left hand derivative?

Left hand derivative and right hand derivative of a function f(x) at a point x=a are defined as. f′(a−)=h→0+lim​hf(a)−f(a−h)​=h→0−lim​hf(a)−f(a−h)​=x→a+lim​a−xf(a)−f(x)​ respectively.

What is the formula of right hand derivative?

The right-hand derivative of f is defined as the right-hand limit: f′+(x)=limh→0+f(x+h)−f(x)h. If the right-hand derivative exists, then f is said to be right-hand differentiable at x.