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

Chapter 3 Differentiation Ex 3.5 Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 3 Differentiation Ex 3.5. Step-by-step solved exercises, numerical problems, and digest answers.

9 Solved Questions13 Diagrams286 words

Balbharati Maharashtra State Board12th Commerce Maths Solution Book PdfChapter 3 Differentiation Ex 3.5 Questions and Answers.

Maharashtra State Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.5

1. Find if:

Question 1 Maharashtra Board Solution
x = at2, y = 2at
Solution & Step-by-Step Answer:
x = at2, y = 2at Differentiating x and y w.r.t. t, we get

Question 2 Maharashtra Board Solution
x = 2at2, y = at4
Solution & Step-by-Step Answer:

Question 3 Maharashtra Board Solution
x = e3t, y = e(4t+5)
Solution & Step-by-Step Answer:
x = e3t, y = e(4t+5) Differentiating x and y w.r.t. t, we get

2. Find if:

Question 1 Maharashtra Board Solution
x = , y =
Solution & Step-by-Step Answer:
x = , y = ……(1) Differentiating x and y w.r.t. u, we get,

Question 2 Maharashtra Board Solution
x = , y = log(1 + u2)
Solution & Step-by-Step Answer:
x = , y = log(1 + u2) ……(1) Differentiating x and y w.r.t. u, we get,

Question 3 Maharashtra Board Solution
Differentiate 5x with respect to log x.
Solution & Step-by-Step Answer:
Let u = 5x and v = log x Then we want to find Differentiating u and v w.r.t. x, we get

3. Solve the following:

Question 1 Maharashtra Board Solution
If x = , y = , then show that = -1
Solution & Step-by-Step Answer:

Question 2 Maharashtra Board Solution
If x = , y = , then show that
Solution & Step-by-Step Answer:

Question 3 Maharashtra Board Solution
If x = t. log t, y = tt, then show that – y = 0.
Solution & Step-by-Step Answer:
x = t log t Differentiating w.r.t. t, we get