The relation between the number of words y a person learns in x hours is given by y = x,0≤x≤9. What is the approximate number of words learned when x changes from 4 to 4.1 hours?

Question

The relation between the number of words y a person learns in x hours is given by y = `sqrt(x), 0 ≤ x ≤ 9`. What is the approximate number of words learned when x changes from 4 to 4.1 hours?

Sum

Solution

y = `52sqrt(y)`

dy = `52 xx 1/2 xx x^((-1)/2) "d"x`

x = 4

dx = 0.1

`26/sqrt(4) xx 0.1` = 13 × 0.1

= 1.3

≅ 1 word

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Linear Approximation and Differentials

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Q 9. (ii)Q 9. (i)Q 10

Chapter 8: Differentials and Partial Derivatives - Exercise 8.2 [Page 68]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board

Chapter 8 Differentials and Partial Derivatives
Exercise 8.2 | Q 9. (ii) | Page 68

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