# Important Questions for CBSE Class 11 Maths Chapter 13 - Limits and Derivatives

## CBSE Class 11 Maths Chapter-13 Important Questions - Free PDF Download

Free PDF download of Important Questions with solutions for CBSE Class 11 Maths Chapter 13 - Limits and Derivatives prepared by expert Maths teachers from latest edition of CBSE(NCERT) books. CoolGyan.Org to score more marks in your Examination.

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 tanfrom 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)