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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 : 2
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q1.
If
x = a
sin
θ
and
y = bcosθ
, then
d
^{2}
y/ d
^{2}
x
is
A.
a/ b
^{2}
sec
^{2}
θ
B.
– b/a sec
^{2}
θ
C.
–b/a
^{2}
sec
^{3}
θ
D.
−b
^{2}
/a
^{2}
sec
^{3}
θ
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q2.
The differential coefficient of log
_{10}
x
with respect to log
_{x}
10 is
A.
1
B.
−(log
_{10}
x)
^{2}
C.
(log
_{x}
10)
^{2}
D.
x
^{2}
/100
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q3.
If
f
(
x
) =
x
+ 2, then
f
'(
f
(
x
)) at
x
= 4 is
A.
8
B.
1
C.
4
D.
5
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q4.
If
y
= (1−
x
)
^{2}
/
x
^{2}
, then
dy/ dx
is
A.
2/
x
^{2}
+ 2/
x
^{3}
B.
−2/
x
^{2}
+ 2/
x
^{3}
C.
−2/
x
^{2}
− 2/
x
^{3}
D.
−2/
x
^{2}
+ 2/
x
^{3}
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q5.
If
pv
= 81, then
dp/dv
at
v
= 9 is
A.
1
B.
- 1
C.
2
D.
-2
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q6.
If
f
(x ) =
, then the right hand derivative of
f
(x) at
x
= 2 is
A.
0
B.
2
C.
3
D.
4
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q7.
It is given that
f
'(
a
) exists, then
is
A.
f (a ) − af '(a)
B.
f '(a)
C.
− f '(a)
D.
f (a ) + af '(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
Q8.
If
, then
f
'(2) is
A.
0
B.
1
C.
2
D.
does not exist
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q9.
If
g
(
x
) = (x
^{2}
+ 2x + 3)
f
(
x
) and
f
(0) = 5 and
, then
g
'(0) is
A.
20
B.
14
C.
18
D.
12
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
No Explaination.
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q10.
If
f
(
x
) =
, then at
x
= 3,
f
'(
x
) is
A.
1
B.
- 1
C.
0
D.
does not exist
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
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