Mathematics

Problem

A point moves along the parabola

y^{2}=4x

. When the point is at

(4,4)

, its

y

–coordinate is increasing at

6\text{ units/s}

. What is the instantaneous speed of the point at that instant? a)

12\sqrt{2}\text{ units/s}

12\text{ units/s}

6\sqrt{5}\text{ units/s}

6\sqrt{10}\text{ units/s}