Let , where is a real constant. Determine all real values of for which is concave up…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let

f(x)=x^{3}+k x^{2}

, where

k

is a real constant. Determine all real values of

k

for which

f

is concave up for every

x>0

in its domain.