Let on the interval

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

Problem

Let

f(x)=x^{2}+3x

on the interval

[1,3]

. Find the value of

c\in(1,3)

that satisfies

f'(c)=\dfrac{f(3)-f(1)}{3-1}

. (a)

1.5

(b)

\dfrac{7}{3}

(c)

2

(d)

3