Question

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

Answer 1

Here $f\left(x\right)=x^2.$

At x = 1.1

$f\left(1.1\right)=(1.1{)}^2=1.21$

$f\left(1\right)=(1{)}^2=1$

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