Continuity and differentiability|Critical points and stationary points

x^(2x) has a stationary point at

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

What is critical point?

Continuity & Differentiability - Continuity|Condition For Continuity|Doubtful Points|Questions|OMR

Monotonicity: Nature OF Graph || Monotonic function || Critical point || stationary point || Inequality based question

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.

Let f(x)={(-1, -2lexlt0),(x^2-1,0lexlt2):} if g(x)=|f(x)|+f(|x|) then g(x) in (-2,2) (A) not continuous (B) not differential at one point (C) differential at all points (D) not differential at two points