Let with . For which value of do the ordinates of the local maximum and local minimum…

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

Problem

Let

f(x)=x^3-3k x+1

with

k>0

. For which value of

k

do the ordinates of the local maximum and local minimum become equal? (a)

k=1

(b) No positive value of

k

satisfies the condition (c)

k=3

(d)

k=9