Question

If f(x) = x², find $\frac{f\left(1.1\right)-f\left(1\right)}{\left(1.1\right)-1}$.

Answer 1

Given:
f(x) = x²

Therefore,

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