If f (x) = x², find [f (1.1) - f (1)] / (1.1 - 1)

Solution:

It is given that

f (x) = x²

⇒ f(1.1) = (1.1)² and f (1) = 1²

Hence substituting the above values, we get

⇒[f (1.1) - f (1)] / (1.1 - 1)

= [(1.1)² - (1)²] / (1.1 - 1)

= (1.21 - 1) / 0.1

= 0.21 / 0.1

[f (1.1) - f (1)] / (1.1 - 1) = 2.1

NCERT Solutions Class 11 Maths Chapter 2 Exercise ME Question 2

If f (x) = x², find [f (1.1) - f (1)] / (1.1 - 1)

Summary:

A relation f (x) = x² is given. We have found that the value of [f (1.1) - f (1)] / (1.1 - 1) comes out to be 2.1.