CPM Homework Help : APCALC Problem 11-39

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

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

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

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

$\frac { 2 } { 3 }$

$\frac { 8 } { 3 }$

Step:

$\frac{dy}{dt}=\frac{1}{\sqrt{1-x^2}}\cdot\frac{dx}{dt}$