NCERT Solutions Class 11th Maths Chapter 13 – Limits And Derivatives Miscellaneous Exercise
| Textbook | NCERT |
| class | Class – 11th |
| Subject | Mathematics |
| Chapter | Chapter – 13 |
| Chapter Name | Limits And Derivatives |
| grade | Class 11th Maths solution |
| Medium | English |
| Source | last doubt |
NCERT Solutions Class 11th Maths Chapter 13 – Limits And Derivatives Miscellaneous Exercise
?Chapter – 13?
✍Limits And Derivatives✍
?Miscellaneous Exercise?
1. Find the derivative of the following functions from first principle:
(i) –x
(ii) (–x) –1
(iii) sin (x + 1)
(iv)
Solution:
(ii) (-x)-1
= 1 / x2
(iii) sin (x + 1)
(iv)
We get,
Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):
2. (x + a)
Solution:
3. (px + q) (r / x + s)
Solution:
4. (ax + b) (cx + d)2
Solution:
5. (ax + b) / (cx + d)
Solution:
6. (1 + 1 / x) / (1 – 1 / x)
Solution:
7. 1 / (ax2 + bx + c)
Solution:
8. (ax + b) / px2 + qx + r
Solution:
9. (px2 + qx + r) / ax + b
Solution:
10. (a / x4) – (b / x2) + cos x
Solution:
11.
Solution:
12. (ax + b)n
Solution:
13. (ax + b)n (cx + d)m
Solution:
14. sin (x + a)
Solution:
15. cosec x cot x
Solution:
So, we get
16.
Solution:
17.
Solution:
18.
Solution:
19. sinn x
Solution:
20.
Solution:
21.
Solution:
22. x4 (5 sin x – 3 cos x)
Solution:
23. (x2 + 1) cos x
Solution:
24. (ax2 + sin x) (p + q cos x)
Solution:
25.
Solution:
26.
Solution:
27.
Solution:
28.
Solution:
29. (x + sec x) (x – tan x)
Solution:
30.
Solution:
