Find the Derivative of the Function $h(t)=\frac{t^{9}-3 t^{7}+8 t^{6} e^{t}}{8 t^{6}}$

Multiple Choice

Find the derivative of the function. $h(t) =\frac{t^{9}-3 t^{7}+8 t^{6} e^{t}}{8 t^{6}}$

A) $3 t^{2}-3+8 e^{t}$
B) $3 t^{2}-3+e^{t}$
C) $\frac{3}{8}$ $t^{2}-$ $\frac{3}{8}$ $+e^{t}$
D) $9 t^{8}-21 t^{6}+e^{t}$