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Multivariable Calculus

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Find Radius of Curvature

MVCALC-KXHDTE

Find the radius of curvature for $6y=x^3$ at the point $\left(2,\frac{4}{3}\right)$.

A

$\sqrt{5}$

B

$\cfrac{\sqrt{5}}{2}$

C

$\cfrac{5\sqrt{5}}{2}$

D

$\cfrac{\sqrt{5}}{10}$

E

$\cfrac{2\sqrt{5}}{5}$