Finding the stationary points of a rational function with specific features.

Q1 is true/false question covering some core facts, notation and basic examples.  Q2 has two functions for which second derivative needs to be determined.

A graphical approach to aiding students in writing down a formal proof of discontinuity of a function at a given point.

Uses JSXgraph to sketch the graphs and involves some interaction/experimentation by students in finding appropriate intervals.

Displacement-time graphs are given and the student should select the correct velocity-time graphs from a list. Includes linear, piecewise linear and quadratic displacement-time functions.

Adding several rational functions.

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

Multiple choice questions. Given randomised trig functions select the possible ways of writing the domain of the function.

Multiple choice questions. Given randomised trig functions select the possible ways of writing the domain of the function.

A graph of an (invertible) cubic is given. The question is to determine values of $f$ from graph.

A random graph is drawn and students are asked whether it represents a function or not.

Given an equation or a worded formula determine if it is a function or not

A quadratic function $ax^2+bs+c$ is given. Six parabolas are sketched. Question is to select the correct parabola.  Need to consider the y-intercept, the coefficient of x^2, and the x-coordinate of the minimum/maximum point.

This question is to test if you know how to use your calculator correctly.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

Given a graph of some line or curve - the student is asked about the nature of the map and whether it constitutes a function.

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Evaluating a function

This quiz contains questions on functions, limits, logs, exponential functions, simultaneous equations and quadratic equations.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Use the quotient rule to differentiate various functions.

Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the chain rule to differentiate various functions.

Integrate various functions by rewriting them as partial fractions.

Find the first few terms of the Maclaurin and Taylor series of given functions.

Approximate the integral of a function by Riemann sums.