Question

let f(x)=(1/2)x^2. The fraction (f(a+h)-f(a))/h is?

Answer 1

\[
\frac{\frac{1}{2}
(a+h)^2-\frac{a^2}{2}}{h}
\]
Expand and simplify

Answer 2

\[
\frac{\frac{a^2}{2}+a h+\frac{h^2}{2}-\frac{a^2}{2
}}{h}
\]

Answer 3

\[
\frac{a h+\frac{h^2}{2}}{h}=
a +\frac h2
\]

Answer 4

Thanks for the help