Which one of the following statement is correct ?

Options

A. The derivation of f(X) at x= is the slope of the graph of f(x) at the point [a, f(a)]
B. f(x) has a positive derivative at x =a means f(x) increase as x increase from 'a'
C. The sum of two differntiable functions is differntiable
D. If a function is continous at a point it is also differentiable at the same point

Answer

D

Explanation

If a function is continuous at a point it need not be differntiable at the same point Example f(x) =|x| is continuous at x =0 but f(x) is not differntiable at x =0