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Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
- Online Test
Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
TEST : 3
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q1.
The derivative of
f
(
x
) =
x
|
x
| at
x
= −3 is
A.
6
B.
- 6
C.
does not exist
D.
0
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q2.
If
f (x)
=
, then which one of the following is true?
A.
f(x)
is not differentiable at
x
=
a
B.
f(x)
is discontinuous at
x
=
a
C.
f(x)
is continuous for all x in R
D.
f(x)
is differentiable for all
x
≥
a
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q3.
If
f (x)
=
is differentiable at
x
= 1, then
A.
a = 1/2 , b = −3/2
B.
a = −1/2 , b = 3/2
C.
a = − 1/2 , b = − 3/2
D.
a = 1/2 , b = 3/2
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q4.
The number of points in R in which the function
f (x)
=|
x
− 1| + |
x
− 3| + sin
x
is not differentiable, is
A.
3
B.
2
C.
1
D.
4
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
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Mark for Correct Answer : 1 Mark for Wrong Answer : -0.5 Mark for Left Answer : 0
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