E-CE02 · Curvature, slope and a point
Given \(f^{\prime\prime}(x)=12x-8\), \(f^{\prime}(1)=1\) and \(f(0)=6\).
Find f(x).
Find the tangent at \(\displaystyle x=1\).
Show that f is strictly increasing for all real x.
Complete-answer checking, worked solutions and indicative written criteria.
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