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

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

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

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

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

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

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

B