12th Commerce Maths 1 Chapter 3 Exercise 3.3 Answers Maharashtra Board

Differentiation Class 12 Commerce Maths 1 Chapter 3 Exercise 3.3 Answers Maharashtra Board

Balbharati Maharashtra State Board 12th Commerce Maths Solution Book Pdf Chapter 3 Differentiation Ex 3.3 Questions and Answers.

Std 12 Maths 1 Exercise 3.3 Solutions Commerce Maths

1. Find \(\frac{d y}{d x}\) if:

Question 1.
y = \(x^{x^{2 x}}\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-I-Q1
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-I-Q1.1
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-I-Q1.2

Question 2.
y = \(x^{e^{x}}\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-I-Q2

Maharashtra-Board-Solutions

Question 3.
y = \(e^{x^{x}}\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-I-Q3

2. Find \(\frac{d y}{d x}\) if:

Question 1.
y = \(\left(1+\frac{1}{x}\right)^{x}\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-II-Q1

Question 2.
y = (2x + 5) x
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-II-Q2

Maharashtra-Board-Solutions

Question 3.
y = \(\sqrt[3]{\frac{(3 x-1)}{(2 x+3)(5-x)^{2}}}\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-II-Q3
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-II-Q3.1

3. Find \(\frac{d y}{d x}\) if:

Question 1.
y = (log x) x + x log x
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-III-Q1
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-III-Q1.1

Question 2.
y = x x + a x
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-III-Q2

Maharashtra-Board-Solutions

Question 3.
y = \(10^{x^{x}}+10^{x^{10}}+10^{10^{x}}\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-III-Q3
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-3-Differentiation-Ex-3.3-III-Q3.1