If `f(x) = sqrt(1-(sqrt1-x^2))` , then `f(x)` is (a)continuous on [-1, 1] and differentiable on (-1, 1) (b) continuous on [-1,1] and differentiable on `(-1, 0) uu (0, 1)` (C) continuous and differentiable on [-1, 1](d) none of these

If f(x)=sqrt(1-sqrt(1-x^2)) , then f(x) is (a) continuous on [-1, 1] and differentiable on (-1, 1) (b) continuous on [-1, 1] and differentiable on ( − 1 , 0 ) ∪ ( 0 , 1 ) (c) continuous and differentiable on [-1, 1] (d) none of these

If f(x)=sqrt(1-sqrt(1-x^(2))), then f(x) is (a) continuous on [-1,1] and differentiable on (-1, 1) (b) continuous on [-1,1] and differentiable on (-1,0)uu varphi(0,1)(c) continuous and differentiable on [-1,1](d) none of these

If f is an odd continuous function in [-1,1] and differentiable in (-1,1) then

Let f(x) = int_(-2)^(x)|t + 1|dt , then a. f(x) is continuous in [-1, 1] b. f(x) is differentiable in [-1, 1] c. f'(x) is continuous in [-1, 1] d. f'(x) is differentiable in [-1, 1]

f(x) ={{:(1-sqrt(1-x^(2)),if -1lexle1),(1+ log ""(1)/(x), if xgt1):} (a) continuous and differentiable at x=1 (b) continuous but not differentiable at x=1 (c) neither continuous nor differentiable at x=1 (d) none of these

If f(x)={ax^(2)+b,x 1;b!=0, then f(x) is continuous and differentiable at x=1 if

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

If f(x)=|(log)_e|x| , then 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

If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)continuous and differentiable (b)differentiable but not continuous (c)continuous but not differentiable (d)neither continuous nor differentiable

If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)continuous and differentiable (b)differentiable but not continuous (c)continuous but not differentiable (d)neither continuous nor differentiable