Mathematics

Problem

The relation

x^{2}+y^{2}=25

defines

y

implicitly as a differentiable function of

x

(-5,5)

where

y>0

. Which statement about the concavity of the graph of this function on

(-5,5)

is true? a) The graph is concave down on

(-5,0)

and concave up on

(0,5)

. b) The graph is concave down on the entire interval. c) The graph is concave up on the entire interval. d) The graph changes concavity at

x=\pm\sqrt{12.5}