Mathematical Methods · Unit 2 · Applications of differential calculus · Graphical applications of derivatives

Sketch curves associated with power functions and polynomials up to degree 4; find stationary points and local and global maxima and minima with and without technology; and examine behaviour as 𝑥 → ∞ and 𝑥 → − ∞.

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Determine the equation of a tangent and a normal of the graph of 𝑦 = 𝑓(𝑥).
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Use the first derivative of a function to determine and identify the nature of stationary points.
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