Continuity And Differentiability - 1 - Free MCQ Practice Test with solutions,

1/2

0

1

none of these

0

1

does not exist

none of these

all x ∈ I

all x ∈ (R−I)

all x ∈ R

all x ∈ Rx- {0]

1

 2

3

4

f (x) = g (x)

f ‘ (x) = g ‘ (x)

f''(x) = g''(x)

none of these

1/2

1

0

none of these

differentiable everywhere.

continuous everywhere

continuous nowhere

differentiable nowhere

25

1

30

none of these

e³

e^1/3

3 e

none of these

none of these

-1

Not continuous at x = a

Derivable at x = a

Continuous but not derivable at x = a

None of these

e²

e^1/2

e

none of these

a

1/2a

1/a

none of these

none of these

continuous nowhere

differentiable for all x∈ (R−I).

differentiable for all x ∈ R

continuous for all x ∈ R

is positive

is negative

vanishes

does not exist.

x³e^2x

x²e^2x(2+3x)

x²e^2x(2x+3)

none of these

none of these

1

– 1

0

none of these

derivable for all x

discontinuous only for integral x

continuous for all x

a constant function

0 for all x ∈ R

f (0) for all x ∈ R

f ‘(0) for all x ∈ R

none of these

1+y²

1−y²

y²+1

none of these

0

none of these