$)$ Calculate the sum of the squared error, $,$ for the forward$-$difference approximation and the

central$-$difference approximation to the derivative of $()=$ sin $(),$ for $=0...0+0\mathrm{.}01.$

b$)$ Do this while varying step size over the range of $=1\backslash$times $109...1\backslash$times $103.$ You will be calculating

the sum of the squared error as a function of step size, $().$

c$)$ Repeat a$)$ and b$)$ for $0=0$ and $0=$

$2$