Write two function $f(x)$ and fprime $(x)$ as defined below $($functions must be written in $C++)$

$f(x)=x{e}^{-x}+2cos(x)+2$

$f^{\text{'}}(x)=(1-x)e^{-x}-2sin(x)$

Now write a function to implement Newtons method, that has the following declaration

float Newton$($float $x0,$ int maxIter, float epsln$)$;

The algorithm for Newton's method is given as below:

For iter $=1$ to maxIter

xnew$=x0-f\frac{x0}{?}$ fprime $(x0)$

error $=|xnew-x0|$

if error $$ epsln, return xnew

$x0=$xnew

close the loop

Display the iteration did not converge

Return xnew