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Relations and Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations and Functions2 Marks
Question
If $f (x) = x^2,$ find $\frac{{f(1.1) - f(1)}}{{(1.1 - 1)}}$
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Answer

Here $f (x) = x^2$ 
At $x = 1.1$
$f(1.1) = (1.1)^2 = 1.21$
$f(1)=(1)^2 = 1$
$\therefore \frac{{f(1.1) - f(1)}}{{(1.1 - 1)}} = \frac{{1.21 - 1}}{{0.1}} = \frac{{0.21}}{{0.1}} = 2.1$

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