E-CB01 · A complete cubic sketch
Let \(f(x)=x^3-3x^2-9x+11\).
Find the coordinates of both stationary points.
Classify the points and state the intervals where the derivative is positive and negative.
Sketch the curve, showing the stationary points and all axis intersections. You may use \(f(x)=(x-1)[(x-1)^2-12]\).
Complete-answer checking, worked solutions and indicative written criteria.
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