Answer to Question #213230 in Calculus for Sarita bartwal

Question

A real- valued function of three variable which is continuous everywhere is differentiable.

True or false with full explanation

Answer 1

This statement is False.

Condition of differentiability at a point are as follows:-

1. Function should be Continuous at the point.

2. Left hand derivative= Right hand Derivative

Among the condition of differentiability , our question satisfy only one condition and therefore , it can be said that if a real- valued function of three variable which is continuous everywhere need not to be differentiable everywhere.