Important Questions for CBSE Class 11 Maths Chapter 13 - Limits and Derivatives
CBSE Class 11 Maths Chapter-13 Important Questions - Free PDF Download
1 Marks Questions
1. Evaluate 
Ans.
2. Evaluate 
Ans.
=
3. Find derivative of 
Ans. Let 
4. Find derivative of 
Ans.
5. Evaluate 
Ans.
6. What is the value of 
Ans.
7. Differentiate 
Ans.
8. If 
find 
Ans.
9. Evaluate 
Ans.
=
=
10. Differentiate 
sinwith respect to
Ans.
=
11. Evaluate 
Ans.
12. Evaluate 
Ans.
=
=
=
13. Find
Ans.
14. Evaluate 
Ans.
15. Find derivative of 
Ans.
16. Find derivative of 
Ans.
17. The value of 
Ans.
18. Evaluate 
Ans.
19. 
find the value of ‘a
Ans.
20. Differentiate 
Ans.
4 Marks Questions
1. Prove that 
Ans. We have
=
2. Evaluate 
Ans.
=
3. Evaluate 
Ans.
4. It 
. Show that 
Ans.
Hence proved
5. Differentiate 
Ans. Let 
6. Let 
and if 
What are the possible value of a and b ?
Ans. Given 
(1) =4
= 
By eq. 
7. If 
find 
Ans. 
8. Differentiate 
Ans. 
9. Differentiate 
Ans. (i)
(ii) 
10. Evaluate 
Ans. 
11. Evaluate 
Ans. 
12. Evaluate 
Ans. 
13. Find the derivative of 
at 
Ans. 
At
=
=
14. Find the derivative of 
with respect to 
using product rule
Ans. let
15. Find the derivative of 
with respect to
Ans. let
=
=
=
=
16. Find 
when 
Ans.
We know that 
L. H. L. 
R. H. L. 
L. H. L. 
R. H. L 
does not exist
17. Find the derivative of the function 
at 
Also show that 
Ans.
At 
Hence proved
18. Evaluate 
Ans.
=
19. Find derivative of 
by first principle
Ans. 
20. Evaluate 
Ans. 
21. Evaluate 
(if it exist)
Ans. 
22. For what integers 
and 
does both
Ans.
For all real number 
exist
For
all integral values of 
exist
23. If 
Ans. 
Differentiating w. r. t. we gill
24. Evaluate 
Ans.
25. Differentiate the function 
with respect to
Ans.
26. Find 
Ans. 
27. Find 
Ans. 
28. Find derivative of 
by first principle
Ans. 
29. Find derivative of 
Ans.
30. Find derivative of 
Ans. 
6 Marks Questions
1. Differentiate tan
from first principle.
Ans. 
=
=
=
=
=
2. Differentiate 
From first principle.
Ans. let 
=
=
=
=
3. Find derivative of cosec by first principle
Ans. 
4. Find the derivatives of the following fuchsias:
Ans. (i)
(ii)
5. If 
for what Values of ‘a’ does 
exist
Ans.given
a=0
L.H.L.
=
R.H.L. 
exist
At 
exist
6. Find the derivative of sin 
with respect to 
from first principle.
Ans. let 
=
=
=
=
=
7. Find the derivative of 
from first principle
Ans.
8. Find derivative of
Ans. (i)
(ii)
9. Evaluate 
Ans.
10. Differentiate
Ans. (i)
(ii)
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