Assume That X and Y Are Both Differentiable Functions of T

Multiple Choice

Assume that x and y are both differentiable functions of t . Find $\frac { d y } { d t }$ when $x = 49$ and $\frac { d x } { d t } = 17$ for the equation $y = \sqrt { x }$ .

A) $\frac { d y } { d t } = \frac { 17 } { 14 }$
B) $\frac { d y } { d t } = 14$
C) $\frac { d y } { d t } = \frac { 14 } { 17 }$
D) $\frac { d y } { d t } = - \frac { 17 } { 14 }$
E) $\frac { d y } { d t } = - 14$