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

rebelmaths

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are given in the question.

Shows how to use the bin function to group data into equal-sized intervals.

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.

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.

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.

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.

This uses an embedded Geogebra graph of a modulus function with random coefficients set by NUMBAS.

This uses an embedded Geogebra graph of amodulus function with random coefficients set by NUMBAS.

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

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

Given a graph of some function f, the student is asked for values of $f$ and its inverse. Function is cubic and invertible.

This uses an embedded Geogebra graph of a polar function with random coefficients set by NUMBAS.

Given a graph of some function f, the student is asked for values of $f$ and its inverse. Function is cubic and invertible.

Finding the product of a linear function of the form $mx+c$ and a cubic function of the form $ax^3+bx^2+cx+d$.

Finding the product of two linear functions of the form $mx+c$ and a quadratic function of the form $ax^2+bx+c$.

Finding the product of three linear functions of the form $mx+c$.

Finding the product of two linear functions of the form $mx+c$.

Finding the coordinates and determining the nature of the stationary points on a polynomial function

State if a function is increasing at given points or on given intervals

A question to practice functions, graphs and domains

Recovering original function given some information such as derivative and value at some point.

Finding the coordinates and determining the nature of the stationary points on a polynomial function

More work on differentiation with trigonometric functions

Questions testing rather basic understanding of the index laws.

Questions testing rather basic understanding of the index laws.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

The student is asked to integrate a given function. The marking algorithm differentiates the student's answer, and checks that it is equivalent to the original function.

No description given

This question shows how to use the programming extension's run_code function to run some Python code and use its result in the marking of a non-code part type.

Python is used to calculate the correct answer for a number entry part type. This could be done