Use the Newton's method to estimate $\sqrt[3]{7}$ up to the second approximation $x_2$ if the initial guess is $x_1=2.($Hint: if $x=\sqrt[3]{7},$ then $x^3-7=0.)$

$($A$)\frac{23}{12}$

$($B$)14$

$($C$)\frac{17}{12}$

$($D$)-10$

$($E$)\frac{25}{12}$