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

## Maharashtra State Board 12th Commerce Maths Solutions Chapter 3 Differentiation Ex 3.3

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

Question 1.

y = \(x^{x^{2 x}}\)

Solution:

Question 2.

y = \(x^{e^{x}}\)

Solution:

Question 3.

y = \(e^{x^{x}}\)

Solution:

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

Question 1.

y = \(\left(1+\frac{1}{x}\right)^{x}\)

Solution:

Question 2.

y = (2x + 5)^{x}

Solution:

Question 3.

y = \(\sqrt[3]{\frac{(3 x-1)}{(2 x+3)(5-x)^{2}}}\)

Solution:

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

Question 1.

y = (log x)^{x} + x^{log x}

Solution:

Question 2.

y = x^{x} + a^{x}

Solution:

Question 3.

y = \(10^{x^{x}}+10^{x^{10}}+10^{10^{x}}\)

Solution: