# If f(x)=|log10x| then at x=1

1.  f isnot continuous

2.  f is continuous but not differentiable

3.  f isdifferentiable

4.   the derivative is 1

4

f is continuous but not differentiable

Explanation :
No Explanation available for this question

# If f(x)= x(√x-√(x+1)) then

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

4

f(x) is differentiable at x=0

Explanation :
No Explanation available for this question

# If f(x)={log x}, then for x≠1, f'(x)=

1.  1/x

2.  1/|x|

3.  -1/x

4.  none

4

none

Explanation :
No Explanation available for this question

# If f(x)=√(1-√(1-x2)), then

1.  f(x) is continuous every where

2.  f is differentiable everywhere

3.  f is differentiable at x=0

4.  none

4

f(x) is continuous every where

Explanation :
No Explanation available for this question

# If f(x)=√(x+2√(2x-4))+ )=√(x-2√(2x-4)) then

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)

4

f is differentiable at all points of its domain except x=4

Explanation :
No Explanation available for this question

# The function f(x)=1+|sin x|is

1.  continuous no where

2.  continuous every where

3.  differentiable everywhere

4.  continuous every where but not differentiable at x=0

4

continuous every where but not differentiable at x=0

Explanation :
No Explanation available for this question

# If f(x)=|x+2|/ Tan-1(x+2) for x≠-2, f(-2) =2 then

1.  f is continuous at x=-2

2.  f is not continuous at x=-2

3.  f is derivable at x=-2

4.  none

4

f is not continuous at x=-2

Explanation :
No Explanation available for this question

# If f(x)=[x sin πx], then f(x) is

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)

4

continuous and differentiable on (-1,1)

Explanation :
No Explanation available for this question

# If f(x)= x log xcos x/ log(1+x2)for x≠0, f(0), then

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

4

f(x) is derivable at x=0

Explanation :
No Explanation available for this question

1.  0

2.  1

3.  -1

4.  f(0)

4