f$($x$)=-$exp$(-2$x$)$x

Note: Remember to compute the error Epsilon$-$a after each iteration. Use epsilon$\_$s$=0\mathrm{.}01\%.$

Q$1$: Perform $($hand calculation$)5$ iterations of Newton$$s Raphson method to solve the equation.

Use an initial guess of x$0=0.$

Q$2$: Perform $($hand calculation$)5$ iterations of Secant method to solve the equation.

Use an initial guess of x$(0)=1$ and x$(-1)=0.$

Q$3$: Write your own Matlab functions $($NR$)$ to validate your results.

Q$4$: Write your own Matlab functions $($Secant$)$ to validate your results.

Q$5$: Compare the results of question $1$&$2$ to the results of question $3$&$4,$ what is your conclusion $?$