If has its extremum values at and

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

Problem

y = a\log x + bx^2 + x

has its extremum values at

x = 1

and

x = 2

, then

(a,b) =

(a)

\left(1, \frac{1}{2}\right)

(b)

\left(\frac{1}{2}, 2\right)

(c)

\left(2, -\frac{1}{2}\right)

(d)

\left(-\frac{2}{3}, -\frac{1}{6}\right)