Here we provide RD Sharma Class 12 Ex 11.2 Solutions Chapter 11 Differentiation for English medium students, Which will very helpful for every student in their exams. Students can download the RD Sharma Class 12 Ex 11.2 Solutions Chapter 11 Differentiation book pdf download. Now you will get step-by-step solutions to each question.
Textbook | NCERT |
Class | Class 12th |
Subject | Maths |
Chapter | 11 |
Exercise | 11.2 |
Category | RD Sharma Solutions |
RD Sharma Class 12 Ex 11.2 Solutions Chapter 11 Differentiation
Question 1. Differentiate y = sin (3x + 5) with respect to x.
Solution:
We have,
y = sin (3x + 5)
On differentiating y with respect to x we get,
On using chain rule, we have
Question 2. Differentiate y = tan2 x with respect to x.
Solution:
We have,
y = tan2 x
On differentiating y with respect to x we get,
On using chain rule, we have
Question 3. Differentiate y = tan (x + 45°) with respect to x.
Solution:
We have,
y = tan (x + 45°)
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 4. Differentiate y = sin (log x) with respect to x.
Solution:
We have,
y = sin (log x)
On differentiating y with respect to x we get,
On using chain rule, we have
Question 5. Differentiate y = esin √x with respect to x.
Solution:
We have,
y = esin √x
On differentiating y with respect to x we get,
On using chain rule, we have
On using chain rule again, we have
Question 6. Differentiate y = etan x with respect to x.
Solution:
We have,
y = etan x
On differentiating y with respect to x we get,
On using chain rule, we have
Question 7. Differentiate y = sin2 (2x + 1) with respect to x.
Solution:
We have,
y = sin2 (2x + 1)
On differentiating y with respect to x we get,
On using chain rule, we have
On using chain rule again, we have
As sin 2A = 2 sin A cos A, we get
Question 8. Differentiate y = log7 (2x − 3) with respect to x.
Solution:
We have,
y = log7 (2x − 3)
As , we have
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 9. Differentiate y = tan 5x° with respect to x.
Solution:
We have,
y = tan 5x°
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 10. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 11. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 12. Differentiate y = logx 3 with respect to x.
Solution:
We have,
y = logx 3
As , we get
y =
On differentiating y with respect to x we get,
On using chain rule, we have
As , we get
Question 13. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 14. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 15. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 16. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 17. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 18. Differentiate y = (log sin x)2 with respect to x.
Solution:
We have,
y = (log sin x)2
On differentiating y with respect to x we get,
On using chain rule, we have
Question 19. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
On using quotient rule, we have
Question 20. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
On using quotient rule, we have
Question 21. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using product rule, we have
On using chain rule, we have
Question 22. Differentiate y = sin(log sin x) with respect to x.
Solution:
We have,
y = sin(log sin x)
On differentiating y with respect to x we get,
On using chain rule, we have
On using chain rule again, we have
Question 23. Differentiate y = etan 3x with respect to x.
Solution:
We have,
y = etan 3x
On differentiating y with respect to x we get,
On using chain rule, we have
Question 24. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 25. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
On using quotient rule, we have
Question 26. Differentiate y =
with respect to x.
Solution:
We have,
y =
y =
As , we get
y =
On differentiating y with respect to x we get,
On using chain rule, we have
On using quotient rule, we have
Question 27. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 28. Differentiate y =
with respect to x.
Solution:
We have,
I =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 29. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using quotient rule, we have
On using product rule, we have
Question 30. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 31. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using quotient rule and chain rule, we get
Question 32. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using quotient rule and chain rule, we get
Question 33. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 34. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 35. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 36. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 37. Differentiate y =
with respect to x.
Solution:
We have,
y =
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 38. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 39. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using quotient rule, we have
On using product rule and chain rule, we have
Question 40. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using product rule and chain rule, we have
Question 41. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using product rule and chain rule, we have
Question 42. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using quotient rule, chain rule and product rule we get,
Question 43. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we get
As 2 sin A cos A = sin 2A, we get
Question 44. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using product rule and chain rule, we have
Question 45. Differentiate y =
with respect to x.
Solution:
We have,
y =
On rationalizing we get,
y =
y =
y =
y =
y =
y =
On differentiating y with respect to x we get,
Question 46. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
Question 47. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule, we have
On using chain rule again, we have
Question 48. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using chain rule and quotient rule, we get
Question 49. Differentiate y =
with respect to x.
Solution:
We have,
y =
On differentiating y with respect to x we get,
On using quotient rule, we get
On using product rule, we get
I think you got complete solutions for this chapter. If You have any queries regarding this chapter, please comment in the below section our subject teacher will answer you. We tried our best to give complete solutions so you got good marks in your exam.
If these solutions have helped you, you can also share rdsharmasolutions.in to your friends.