Balbharati Maharashtra State Board 12th Commerce Maths Solution Book Pdf Chapter 3 Differentiation Ex 3.1 Questions and Answers.

Maharashtra State Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1

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

Question 1.
y = \(\sqrt{x+\frac{1}{x}}\)
Solution:
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 I Q1
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 I Q1.1

Question 2.
y = \(\sqrt[3]{a^{2}+x^{2}}\)
Solution:
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 I Q2

Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1

Question 3.
y = (5x3 – 4x2 – 8x)9
Solution:
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 I Q3
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 I Q3.1

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

Question 1.
y = log(log x)
Solution:
Given y = log(log x)
Let u = log x
Then y = log u
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 II Q1

Question 2.
y = log(10x4 + 5x3 – 3x2 + 2)
Solution:
Given y = log(10x4 + 5x3 – 3x2 + 2)
Let u = 10x4 + 5x3 – 3x2 + 2
Then y = log u
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 II Q2

Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1

Question 3.
y = log(ax2 + bx + c)
Solution:
Given y = log(ax2 + bx + c)
Let u = ax2 + bx + c
Then y = log u
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 II Q3

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

Question 1.
y = \(e^{5 x^{2}-2 x+4}\)
Solution:
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 III Q1

Question 2.
y = \(a^{(1+\log x)}\)
Solution:
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 III Q2
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 III Q2.1

Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1

Question 3.
y = \(5^{(x+\log x)}\)
Solution:
Maharashtra Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.1 III Q3