Use the first and second derivatives to analyse a cubic graph, locate turning and inflection points, and build the equation of a tangent.
By the end, you can
use f′ and f″ to analyse a cubic function and find tangent information from a given gradient or inclination.
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Cubic Calculus: Turning Points, Inflection and Tangents
A cubic is a calculus map
Every feature of a cubic graph can be found with a derivative. Where it turns, which way it bends, where the bending changes — all of it comes out of f′ and f″. 📈
That makes cubic questions long but very predictable. Learn which derivative answers which question and the whole section opens up.
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Cubic Calculus: Turning Points, Inflection and Tangents
R19 · 14 min · certificate
