[" Let "f(x)=(x+|x|)|x|" .then,for all "x*f" is "],[" continuous (b) "f" is differentiable for some "xf'],[" is continuous (d) "f''" is continuous "]

Let f(x)=(x+|x|)|x|. Then,for all x is continuous (b) f is differentiable for some x (c) f' is continuous (d) f is continuous

[" Let "f(x)=(x+|x|)" .Then for all "x],[" O "f" is continuous but not differentiable at "x=0],[" 0"f'" is differentiable for all "x" ."],[" 0"f'" is continuous but not differentiable at "x=0],[" O "f'" is continuous for all "x]

Let f(x) ={{:( xe^(x), xle0),( x+x^(2)-x^(3), xgt0):} then the correct statement is (a) f is continuous and differentiable for all x (b) f is continuous but not differentiable at x=0 (c) f is continuous and differentiable for all x . (d) f ' is continuous but not differentiable at x=0

If f(x)=|ln|x|, then (a)f(x) is continuous and differentiable for all x in its domain (b) f(x) is continuous for all 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)=|(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) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at 0?

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 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)=|x|+|x-1|, then (a) f(x) is continuous at x=0, as well at x=1 (b) f(x) is continuous at x=0, but not at x=1 (c) f(x) is continuous at x=1, but not at x=0 (d)none of these

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]