Question

Contrapositive of the statement: 'If a function f is differentiable at a, then it is also continuous at a', is :- 

(1) If a function f is continuous at a, then it is not differentiable at a. 

(2) If a function f is not continuous at a, then it is differentiable at a. 

(3) If a function f is not continuous at a, then it is not differentiable at a.

(4) If a function f is continuous at a, then it is differentiable at a.

Answer 1

(3) If a function f is not continuous at a, then it is not differentiable at a.

p = function is differantiable at a 

q = function is continuous at a 

contrapositive of statement p → q is 

~ q → ~ p