What is the difference between Continuity and Differentiability?

Question

Accepted Answer

Continuity refers to the smoothness of a function while differentiability refers to the existence of a derivative at a point.

A function is continuous at a point if the limit of the function at that point exists and is equal to the value of the function at that point.
A function is differentiable at a point if the derivative of the function exists at that point.
A function can be continuous but not differentiable, such as the absolute value function at x=0.
A function can be differentiable but not continuous, such as the function f(x) = x^(1/3) at x=0.

Accepted Answer

Differentiability and Continuity is one of the most important topics and it helps students to understand various concepts like continuity at a certain point, derivative of functions, and continuity on a given interval.

Accepted Answer

A function becomes continous when the x assigned to a limit between 0 and 1 on LHS and RHS of a function the outcome is equal, a continous function is also diffrentiable in same domain when solving w.r.t to x is 0

What is the difference between Continuity and Differentiability?

Top Innovalance Learning Systems SME interview questions & answers

Popular interview questions of SME

Top HR questions asked in Innovalance Learning Systems SME