Differentiability At A Point

Investigate the function y = |cosx| for differentiability at the points x=(pi)/(2)+npi (n an integer).

Examine for continuity and differentiability the points x=1 and x=2, the function f defined by f(x)=[{:(X[X],",",0leX where[X]=greatest integer less than or equal to x.

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

The number of non differentiability of point of function f (x) = min ([x] , {x}, |x - (3)/(2)|) for x in (0,2), where [.] and {.} denote greatest integer function and fractional part function respectively.

Define differentiability of a function at a point.

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

f: RrarrR be a function defined by y=min(|x|, x^(2), x) then : O Not differentiable at 2 points O (Not differentiable at 3 points O Not differentiable at 1 point O Always continuous but not differentiable at 3 point

Give an example of a function which is continuous but not differentiable at a point.