The Class 12 NCERT solution math exercise 5.7 differentiation prepared by expert Mathematics teacher at gmath.in as per CBSE guidelines. See our Class 12 Maths Chapter 5 Continuity and Differentiability Ex 5.7 Questions with Solutions to help you to revise complete Syllabus and Score More marks in your Board and School exams.
Exercise 5.7 ( Differentiation)
Find the second order derivatives of the functions given in Exercises 1 to 10.(Class 12 ncert solution math exercise 5.7 differentiation)
Question:1
Solution: Let y =
Then, differentiate with respect to x
Again differentiate w.r. to x
Question 2:
Solution: Let
Diffrentiate with respect to x
Again d.w.r. to x
Question 3:
Solution: Let
Differentiate .w.r.to x
Again differentiate with respect to x
Question 4:
Solution: Let
Differentiate with respect to x
Again differentiate with respect to x
Question 5:
Solution: Let
Differentiate with respect to x
Again differentiate with respect to x
Question 6:
Solution: Let
Differentiate with respect to x
Again differentiate with respect to x
Question 7:
Solution: Let
Again differentiate with respect to x
Question 8:
Solution: Let
Differentiate with respect to x
Again differentiate with respect to x
Question 9:
Solution: Let
Differentiate with respect to x
Again differentiate with respect to x
Question10:
Solution: Let
Differentiate with respect to x
Again differentiate with respect to x
Question 11: If prove that
Solution: Let
Differentiate with respect to x
Again differentiate with respect to x
Question 12: If Find in term of y alone.
Solution: Since,
Differentiate with respect to x
Again differentiate with respect to x
Question 13: If show that
Solution: Since,
Differentiate with respect to x
Multiply by x both side
Again differentiate with respect to x
Agian multiply by x
Hence proved
Question 14: If show that
Solution: Since,
Differentiate with respect to x
Again differentiate with respect x
L.H.S.
Putting the values
Hence proved
Question 15: If , show that
Solution: Given,
Differentiate with respect to x
Again differentiate with respect to x
Hence proved,
Question 16: If , show that
Solution: Given,
Differentiate with respect to x
Again differentiate with respect to x
L.H.S.
R.H.S.
Hence,
Proved
Question 17: If show that
Solution: Given,
Differentiate with respect to x
Multiply by both side
Again differentiate with respect to x
Again multiply by both side
Hence proved.
NCERT solution chapter 5 continuity and differentiability
1. Ncert solution Exercise 5.1 continuity and differentiability
2. Ncert solution Exercise 5.2 continuity and differentiability
3. Ncert solution Exercise 5.3 continuity and differentiability
4. Ncert solution Exercise 5.4 continuity and differentiability
5. Ncert solution Exercise 5.5 continuity and differentiability
6. Ncert solution Exercise 5.6 continuity and differentiability
7. Ncert solution Chapter 5 Miscellaneous continuity and differentiability