If $f(x)=x^{2}$, find $ rac{f(1.1)-f(1)}{(1.1-1)}$.

Question:

If $f(x)=x^{2}$, find $\frac{f(1.1)-f(1)}{(1.1-1)}$.

Solution:

$f(x)=x^{2}$

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

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