E-CB04 · A parameter controls the stationary values
Consider \(f(x)=x^3-3kx+2\), where k is real.
Find the condition on k for exactly two distinct stationary points.
For \(\displaystyle k=4\), find and classify the stationary points.
Find the values of k for which the two stationary points lie strictly on opposite sides of the x-axis.
Complete-answer checking, worked solutions and indicative written criteria.
Open the complete answer form