1. f isnot continuous
2. f is continuous but not differentiable
3. f isdifferentiable
4. the derivative is 1
f is continuous but not differentiable
1. f(x) is continuous but not differentiable at x=0
2. f(x) is differentiable at x=0
3. f(x) is not differentiable
4. none
f(x) is differentiable at x=0
1. 1/x
2. 1/|x|
3. -1/x
4. none
none
1. f(x) is continuous every where
2. f is differentiable everywhere
3. f is differentiable at x=0
4. none
f(x) is continuous every where
1. f is differentiable at all points of its domain except x=4
2. f is differentiable on(2,∞)
3. f is differentiable in (-∞,∞)
4. f'(x)=0 for all x ε[2,6)
f is differentiable at all points of its domain except x=4
1. continuous no where
2. continuous every where
3. differentiable everywhere
4. continuous every where but not differentiable at x=0
continuous every where but not differentiable at x=0
1. f is continuous at x=-2
2. f is not continuous at x=-2
3. f is derivable at x=-2
4. none
f is not continuous at x=-2
1. continuous on [-1,1]
2. differentiable on [-1,1]
3. differentiable on (-1,1) and continuous on[-1,1]
4. continuous and differentiable on (-1,1)
continuous and differentiable on (-1,1)
1. f is continuous at x=0 but not differentiable at x=0
2. f(x) is derivable at x=0
3. f(x) is not continuous at x=0
4. none
f(x) is derivable at x=0
1. 0
2. 1
3. -1
4. f(0)
0