Question

If f '(a) is defined, then f (x) is continuous at x =
a. True or false

Answer 1

we are given

f'(a) id defined

we know that

f'(a) is derivative of f(x) at x=a

It means derivative of f(x) at x=a is defined

and we know that

All differentiable function is continuous

so, if f(x) is differentiable at x=a

then f(x) will also be continuous at x=a

so, this is TRUE..........Answer