E-CE01 · A recovered cubic and its tangent
A curve satisfies \(f^{\prime}(x)=3x^2-6x\) and \(f(0)=4\).
Find f(x).
Find and classify both stationary points.
Find the tangent at \(\displaystyle x=1\) and its x-intercept.
Complete-answer checking, worked solutions and indicative written criteria.
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