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Calculus · SS3

Calculus (JAMB bridge)

Rates of change and areas under curves: the differentiation and integration JAMB asks for.

Before this
Quadratics & their graphsCoordinate geometry
Leads to
Differentiation

Learn

  1. 1Gradients and derivativesThe gradient of a curve as the gradient of its tangent, dy/dx and the power rule, negative and fractional powers, simplifying before differentiating, and finding a gradient or a point on a curve.Done16 min
  2. 2Chain, product and quotient rulesDifferentiating sin x and cos x, the chain rule for a function inside a function, the product and quotient rules, and the second derivative.Done17 min
  3. 3Maxima, minima and rates of changeStationary points where dy/dx = 0, telling a maximum from a minimum, maximum and minimum values, problems about the largest or smallest value, rates of change, and velocity and acceleration.Done17 min
  4. 4IntegrationIntegration as the reverse of differentiation, the power rule and + c, integrating 1/x, sin and cos, powers of (ax + b), and finding the equation of a curve from its gradient and a point.Done15 min
  5. 5Definite integrals, areas and volumesDefinite integrals, the area under a curve, areas below the x-axis, the area between a curve and a line, volumes of revolution, and distance from velocity.Done18 min

Practise

Answer calculus (jamb bridge) questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.

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Past questions (109)

From 1989–2024: 6 WAEC, 16 NECO, 87 JAMB. Theory questions first, then objective, newest first.

Theory (12)

Objective (97)