Balbharati Maharashtra State Board 12th Commerce Maths Solution Book Pdf

Chapter 3 Differentiation Ex 3.3 Questions and Answers.

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: