For , the domain is the set of real numbers satisfying . Which of the following…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For

h_p(x)=\ln(1+px)

, the domain is the set of real numbers satisfying

1+px>0

. Which of the following describes all real values of

p

for which

h_p

is concave down on its entire domain? (a)

p<0

(b)

p\neq 0

(c)

p=0

(d)

p>0