Latest Maharashtra State Board (SSC & HSC) 2026-27 Syllabus Digest & Solutions Updated!
Class 12 (HSC Board)Mathematics & Statistics2026-27 Syllabus

Chapter 2 Applications of Derivatives Ex 2.2 Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 2 Applications of Derivatives Ex 2.2. Step-by-step solved exercises, numerical problems, and digest answers.

6 Solved Questions28 Diagrams286 words

Balbharti12th Maharashtra State Board Maths Solutions BookPdf Chapter 2 Applications of Derivatives Ex 2.2 Questions and Answers.

Maharashtra State Board 12th Maths Solutions Chapter 2 Applications of Derivatives Ex 2.2

Question 1 Maharashtra Board Solution
Find the approximate value of given functions, at required points. (i) √8.95
Solution & Step-by-Step Answer:
√8.95 = 2.9917

(ii)
Solution:

(iii)
Solution:

(iv) (3.97)4
Solution:

(v) (4.01)3
Solution:

Question 2 Maharashtra Board Solution
Find the approximate values of: (i) sin 61°, given that 1° = 0.0174c, √3 = 1.732.
Solution & Step-by-Step Answer:

(ii) sin(29° 30′), given that 1° = 0.0175c, √3 = 1.732.
Solution:

(iii) cos(60° 30′), given that 1° = 0.0175c, √3 = 1.732.
Solution:

(iv) tan (45° 40′), given that 1° = 0.0175c.
Solution:

Question 3 Maharashtra Board Solution
Find the approximate values of (i) tan-1(0.999).
Solution & Step-by-Step Answer:

(ii) cot-1(0.999).
Solution:

(iii) tan-1(1.001).
Solution:

Question 4 Maharashtra Board Solution
Find the approximate values of: (i) e0.995, given that e = 2.7183.
Solution & Step-by-Step Answer:

(ii) e2.1, given that e2= 7.389.
Solution:

(iii) 32.01, given that log 3 = 1.0986.
Solution:

Question 5 Maharashtra Board Solution
Find the approximate values of: (i) loge(101), given that loge10 = 2.3026.
Solution & Step-by-Step Answer:

(ii) loge(9.01), given that log 3 = 1.0986.
Solution:

(iii) log10(1016), given that log10e = 0.4343.
Solution:

Question 6 Maharashtra Board Solution
Find the approximate values of: (i) f(x) = x3 – 3x + 5 at x = 1.99
Solution & Step-by-Step Answer:

(ii) f(x) = x3+ 5x2– 7x +10 at x = 1.12
Solution: