Graphical applications of derivatives

Mathematical Methods · Unit 2 — Calculus and further functions · Applications of differential calculus

Learning objectives (5)

LO-1Construct and interpret displacement-time graphs, with velocity as the slope of the tangent.LO-2Determine instantaneous rates of change.LO-3Determine the equation of a tangent and a normal of the graph of 𝑦 = 𝑓(𝑥).LO-4Sketch 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 → − ∞.LO-5Use the first derivative of a function to determine and identify the nature of stationary points.

Practise these objectives with instant AI marking

Adaptive questions tied to QCAA mark schemes. Free to start.

Start free practice