Question

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

Answer 1

Given, $f\left(x\right)=x^2$

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