find the continuity and differentiability of the function

Examine the continuity and differentiability of the function f(x)=|sinx|atx=0 .

Define continuity and differentiability of a function at a point verify the continuity and differentiability of the function: , f(x)={[(1-x),x 2])

Continuity & Differentiability

Continuity & Differentiability

Discuss the continuity and differentiability of the following functions given below

Draw the graphs of the following functions and discuss the continuity and differentiability in that domain

Relation Between Continuity and Differentiability | Differentiability of Compound Function | Problems based on Limits

Find the points of continuity or discontinuity and differentiability or non- differentiability of...f(x)=|[x]x| in 1<=x<=4, where [] denotes greatest integer function.

The function f(x)=|x|+|x-1| is Continuous at x=1, but not differentiable at x=1 Both continuous and differentiable at x=1 Not continuous at x=1 Not differentiable at x=1

F is a continuous and differentiable function in the interval I which of the following is the complete set of possibilities where the function is strictly decreasing