Balbharati Maharashtra State Board 12th Commerce Maths Solution Book Pdf

Chapter 3 Differentiation Ex 3.1 Questions and Answers.

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 = (5x³ – 4x² – 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(10x⁴ + 5x³ – 3x² + 2)
Solution:
Given y = log(10x⁴ + 5x³ – 3x² + 2)
Let u = 10x⁴ + 5x³ – 3x² + 2
Then y = log u




Question 3.
y = log(ax² + bx + c)
Solution:
Given y = log(ax² + bx + c)
Let u = ax² + 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: