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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 1 to 1.1 hours?
Solution
y = `sqrt(x)`
dy = `52 xx 1/2 xx x^((-1)/2) "d"x`
x = 1
dx = 0.1
`26/sqrt(x) xx 0.1 = 26 xx 0.1`
= 2.6
≅ 3 words
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