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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 : 1
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q1.
d/ dx
(2/π sin x° ) is
A.
π/180 . cos x°
B.
1/90 . cos x°
C.
π/90 . cos x°
D.
2/ π . cos x°
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q2.
If y =
f
(x
^{2}
+ 2) and
f
'(3) = 5, then dy/dx at x = 1 is
A.
5
B.
25
C.
15
D.
10
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Answer :
Option D
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q3.
If y = 1/4 u
^{4}
, u = 2/3 x
^{3}
+ 5, then d
y
/d
x
is
A.
1/ 27 x
^{2}
(2x
^{3}
+15)
^{3}
B.
2/27 x (2x
^{3}
+ 5)
^{3}
C.
2/ 27 x
^{2}
(2x
^{3}
+15)
^{3}
D.
2/27 x (2x
^{3}
+ 5)
^{3}
View Solution
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Answer :
Option C
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q4.
If
f
(
x
) = x
^{2}
− 3x , then the points at which
f
(
x
)
=
f
'(
x
) are
A.
both positive integers
B.
both negative integers
C.
both irrational
D.
one rational and another irrational
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Answer :
Option C
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q5.
If y = 1/ a − z , then dz/ dy is
A.
(a − z)
^{2}
B.
−( z − a)
^{2}
C.
(z + a)
^{2}
D.
− ( z + a)
^{2}
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Answer :
Option A
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q6.
If y = cos(sin x
^{2}
), then
dy/dx
at x =
√
[π/2] is
A.
- 2
B.
2
C.
−2 √[π/2]
D.
0
View Solution
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Answer :
Option D
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q7.
If
y
=
mx
+ c and
f
(0) =
f
'(0) = 1, then
f
(2) is
A.
1
B.
2
C.
3
D.
- 3
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q8.
If
f
(
x
) =
x
tan
^{−1}
x
, then
f
'(1) is
A.
1+ π/4
B.
1/2 + π/4
C.
1/2 – π/4
D.
2
View Solution
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Answer :
Option B
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q9.
d
/
dx
(e
^{x +5logx}
) is
A.
e
^{x}
.x
^{4}
(x + 5)
B.
e
^{x}
.x (x + 5)
C.
e
^{x}
+ 5/
x
D.
e
^{x}
- 5/
x
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Chapter 10: Differential Calculus Differentiability and Methods of Differentiation
# TN 11th Maths
Prepare / Learn
Q10.
If the derivative of (ax − 5)e
^{3x}
at x
= 0 is -13, then the value of
a
is
A.
8
B.
- 2
C.
5
D.
2
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
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