Derivatives can be calculated numerically with the finite$-$difference method as:

$()=(+)()$

$2$

Construct a $1$D array containing the values of $$ on the interval $0$ to $/2$ with a spacing $=0\mathrm{.}1.$

Evaluate numerically the derivative of sin$($x$)$ in this interval $($excluding the end points$)$ using the above

formula. Try to avoid for loops. Compare the result to the function cos$($x$)$ in the same interval.