The Mean Value Theorem guarantees the existence of a special point on the graph of…

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

Problem

The Mean Value Theorem guarantees the existence of a special point on the graph of

y = \sqrt{x}

between

(0,0)

and

(4, 2)

. The coordinates of this point are (a)

(3, \sqrt{3})

(b)

(1, 1)

(c)

(2, \sqrt{2})

(d)

(\frac{1}{2}, \frac{1}{\sqrt{2}})