### Home > APCALC > Chapter 11 > Lesson 11.1.3 > Problem11-39

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 $x =\frac { 1 } { 2 }$?

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

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

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

1. $\frac { 2 } { 3 }$

1. $\frac { 8 } { 3 }$

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