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:

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: