Let `f(x)=|sinx|` . Then, (a) `f(x)` is everywhere differentiable. (b) `f(x)` is everywhere continuous but not differentiable at `x=n\ pi,\ n in Z` (c) `f(x)` is everywhere continuous but not differentiable at `x=(2n+1)pi/2` , `n in Z` . (d) none of these

Let f(x)=|cosx| (a) Then, f(x) is everywhere differentiable (b) f(x) is everywhere continuous but not differentiable at x=npi,\ \ n in Z (c) f(x) is everywhere continuous but not differentiable at x=(2n+1)\ pi/2,\ \ n in Z (d) none of these

The function f(x)=|cosx| is (a) everywhere continuous and differentiable (b) everywhere continuous but not differentiable at (2n+1)pi//2 , n in Z (c) neither continuous nor differentiable at (2n+1)pi//2 , n in Z (d) none of these

Show that the function f(x)=|x-2| is continuous but not differentiable at x=2.

The f(x)=|cosx| (a)Then, f ( x ) is everywhere differentiable at x=(2n+1)\ pi//2,\ \ n in Z (b) continuous but not differentiable at x=(2n+1)\ pi//2,\ n in Z (c) neither differentiable nor continuous at x=npi,\ \ n in Z (d) none of these

Let f(x)={1, x =1 . Then, f is (a) continuous at x=-1 (b) differentiable at x=-1 (c) everywhere continuous (d) everywhere differentiable

If f(x)=|(log)_e|x|| , then (a) f(x) is continuous and differentiable for all x in its domain] (b) f(x) is continuous for all x in its domain but not differentiable at x=+-1 (c) f(x) is neither continuous nor differentiable at x=+-1 (d) none of these

Let f(x)=(lim)_(n rarr oo)sum_(r=0)^(n-1)x/((r x+1){(r+1)x+1}) . Then (A) f(x) is continuous but not differentiable at x=0 (B) f(x) is both continuous but not differentiable at x=0 (C) f(x) is neither continuous not differentiable at x=0 (D) f(x) is a periodic function.

Show that the function f(x) =x^2 is continuous and differentiable at x=2.

The function f(x)=e^(-|x|) is continuous everywhere but not differentiable at x=0 continuous and differentiable everywhere not continuous at x=0 none of these

Let f(x)={{:(,x^(n)sin\ (1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0 . If