Find the set of values of for which the function is strictly increasing for all .

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Find the set of values of

k

for which the function

f(x) = x^3 + kx^2 + kx - 2

is strictly increasing for all

x \in \mathbb{R}