Find the Indicated Derivative $y = x ^ { 0.7 } ( 1 + x ) ; \frac { \mathrm { d } y } { \mathrm {~d} t } =$

Multiple Choice

Find the indicated derivative. The independent variable is a function of t. $y = x ^ { 0.7 } ( 1 + x ) ; \frac { \mathrm { d } y } { \mathrm {~d} t } =$

A) $\frac { \mathrm { d } y } { \mathrm {~d} t } = \left( 0.7 x ^ { - 0.3 } \right) \frac { \mathrm { d } x } { \mathrm {~d} t }$
B) $\frac { \mathrm { d } y } { \mathrm {~d} t } = \left( 0.7 x ^ { - 0.3 } + 2.7 x ^ { 0.7 } \right) \frac { \mathrm { d } x } { \mathrm {~d} t }$
C) $\frac { \mathrm { d } y } { \mathrm {~d} t } = \left( 0.7 x ^ { - 0.3 } + 1.7 x ^ { 0.7 } \right) \frac { \mathrm { d } x } { \mathrm {~d} t }$
D) $\frac { \mathrm { d } y } { \mathrm {~d} t } = \left( 1.7 x ^ { 0.7 } \right) \frac { \mathrm { d } x } { \mathrm {~d} t }$
E) $\frac { \mathrm { d } y } { \mathrm {~d} t } = \left( 0.7 x ^ { 0.7 } + 2.7 x ^ { 0.7 } \right) \frac { \mathrm { d } x } { \mathrm {~d} t }$