CPM Homework Help : CALC Problem 11-39

Multiple Choice: A point travels along the curve $y =\operatorname{sin}^{–1} (x)$ . If $\frac { d x } { d t } = 4$ , find $\frac { d y } { d t }$ when $x = \frac { 1 } { 2 }$ .

$\frac { 2 \sqrt { 3 } } { 3 }$

$\frac { 8 \sqrt { 3 } } { 3 }$

$\frac { 4 \pi } { 3 }$

$\frac { 2 } { 3 }$

$\frac { 8 } { 3 }$

Answer: