This question is from machine learning assignment answer accordingly

Questions$\mathrm{.}04$: Consider the root mean squared error $($RMSE$)$ as an error computation method in regression. Derive the expression for the partial derivative of RMSE with respect to the intercept $0.$

$RMSD=\sqrt[\phantom{2}]{\frac{{\displaystyle \underset{i=1}{\overset{N}{}}}(x_i-\text{h}\text{a}\text{t}(x{)}_i{)}^2}{N}}$

$RMSD=$ root$-$mean $-$ square deviation

$i=$ variable $i$

$N=$ number $of$ non$-$missing data points

$x_i=$ actual observations time series

hat$(x{)}_i=$ estimated time series