\[
\mathrm{f}(x)=x^{5}+3 x^{2}+x-10
\]
(a) Find \(\mathrm{f}^{\prime}(x)\)
The root of \(f(x)=0\) lies in the in the interval \([1,1.5]\)
(b) Use the Newton-Raphson method, starting with \(x_{0}=1.25\), to find the root of \(\mathrm{f}(x)=0\) to 3 decimal places.