12th Commerce Maths 1 Chapter 3 Exercise 3.1 Answers Maharashtra Board

Differentiation Class 12 Commerce Maths 1 Chapter 3 Exercise 3.1 Answers Maharashtra Board

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

Std 12 Maths 1 Exercise 3.1 Solutions Commerce Maths

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

Question 1.
y = \(\sqrt{x+\frac{1}{x}}\)
Solution:

Question 2.
y = \(\sqrt[3]{a^{2}+x^{2}}\)
Solution:

Question 3.
y = (5x ³ – 4x ² – 8x) ⁹
Solution:

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

Question 2.
y = log(10x ⁴ + 5x ³ – 3x ² + 2)
Solution:
Given y = log(10x ⁴ + 5x ³ – 3x ² + 2)
Let u = 10x ⁴ + 5x ³ – 3x ² + 2
Then y = log u

Question 3.
y = log(ax ² + bx + c)
Solution:
Given y = log(ax ² + bx + c)
Let u = ax ² + bx + c
Then y = log u

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

Question 1.
y = \(e^{5 x^{2}-2 x+4}\)
Solution:

Question 2.
y = \(a^{(1+\log x)}\)
Solution:

Question 3.
y = \(5^{(x+\log x)}\)
Solution: