Continuity in Calculus | Definition, Rules & Examples

Differentiability at a point: algebraic (function isn't differentiable)

How to Prove That the Function is Not Differentiable

SOLVED:(a) Use the Mean-Value Theorem to show that if f is differentiable on an interval, and if |f^'(x)| ≤M for all values of x in the interval, then |f(x)-f(y)| ≤M|x-y| for all values of x and y in the interval. (b) Use the result in part (a) to show that |sinx-siny| ≤|x-y| for all real values of x and y

Continuous Function / Check the Continuity of a Function

Continuous Function | Definition, Properties & Examples

Continuous Functions in Calculus