Chapter 10: Differentiability
Differentiability
Before introducing the concept and condition of differentiability, it is important to know differentiation and the concept of differentiation. Differential coefficient of a function y= f(x) is written as
d/dx[f(x)] or f' (x) or f (1) (x) and is defined by
f'(x)= limh→0 (f(x+h)-f(x))/h
f'(x) represents nothing but ratio by which f(x) changes for small change in x and can be understood as f'(x) = lim?x→0 (? y)/(? x) = dy/dx. For more details use the links given below:
Click here → Study Material of Differentiability
Click here → Revision Notes of Differentiability