Let and . On which of the following intervals is the graph of concave down while the…

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

Problem

Let

f(x)=x^{3}-3x

and

g(x)=\ln\bigl(1+x^{2}\bigr)

. On which of the following intervals is the graph of

f

concave down while the graph of

g

is concave up? (a)

(0,1)

(b)

(-\infty,-1)

(c)

(-1,0)

(d)

(-1,1)