Let be a real-valued differentiable function satisfying and

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

Problem

Let

g:[1,6]\to[0,\infty)

be a real-valued differentiable function satisfying

g'(x)=\frac{2}{x+g(x)}

and

g(1)=0

. Then the maximum value of

g

cannot exceed (1)

\log2

(2)

\log6

(3)

6\log2

(4)

2\log6