Let . The function has two critical points and . Find the range of real values of for…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

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

. The function has two critical points

c_{1}

and

c_{2}

. Find the range of real values of

k

for which the local maximum of

f

occurs at a negative

x

–value and the local minimum occurs at a positive

x

–value.