05
Calculus
Numerical derivatives, stationary points, integrals and area. Every guide is scoped to the current AA SL course.
9 verified guides
Graphical gradient
You need a tangent gradient estimate from a plotted function.
Open guidenDeriv at a point
You need an approximate derivative value at a specific input.
Open guideStationary points
You need a point where the gradient is zero or an equation of a tangent.
Open guideDefinite integral
You need the signed accumulation of a function between two bounds.
Open guideTotal area
A region crosses the x-axis and the question asks for total geometric area.
Open guideArea between curves
Two functions bound a finite region.
Open guideKinematics
Position, velocity or acceleration is given as a function of time.
Open guideNumerical optimization
You have an objective function and a feasible interval but an exact stationary point is awkward.
Open guideNumerical cautions
A derivative or integral result looks unstable, surprising or too clean.
Open guide