A point moves along the parabola

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

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}

(b)

12\text{ units/s}

(c)

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

(d)

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