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$\mathrm{f}(x)=x^{5}+3 x^{2}+x-10$
(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.
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