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  Identify the test used to distinguish whether a graph represents a function.
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  Identify the test used to distinguish whether a graph represents a function.
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  Identify the test used to distinguish whether a graph represents a function.
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  Evaluate a limit (x-a)/(x^2+(a+b)x+ab)
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  A graph is drawn. A student is to identify the derivative of this graph from four other graphs.
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  find f(a) for a function defined in three intervals
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  Using simple substitution to find $\lim_{x \to a} bx+c$, $\lim_{x \to a} bx^2+cx+d$ and $\displaystyle \lim_{x \to a} \frac{bx+c}{dx+f}$ where $d\times a+f \neq 0$.
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  Solve an exponential equation
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  JSXGraph code based on original by Christian Lawson-Perfect
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  $g: \mathbb{R} \rightarrow \mathbb{R}, g(x)=\frac{ax}{x^2+b^2}$. Find stationary points and local maxima, minima. Using limits, has $g$ a global max, min? 
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  A basic introduction to differentiation
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  Standard derivatives asked for (e.g. $x^n$, $1/x^n$, $\sqrt(x)$, $\ln(x)$, $\sin(x)$, etc.) .  
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  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.
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  Given a set of curves on axes, generated from a function and its first two derivatives, identify which curve corresponds to which derivative.
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  Some basic derivatives. rebelmaths
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  Three graphs are given with areas underneath them shaded. Student is asked to determine the minimum and maximum $x$-values of the regions. This will involve solving a linear equation and two trigonmetric equations.
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  A cubic with a maximum and minimum point is given. Question is to determine coordinates of the minimum and maximum point. Non-calculator. Advice is given.
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  Implicit differentiation. Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.  
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  Implicit differentiation. Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$. Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.  
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  Implicit differentiation question with customised feedback to catch some common errors.
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  Implicit differentiation question with customised feedback to catch some common errors.
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  Maximising the volume of a rectangular box
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  Problem on a closed cylindrical tank having minimum surface area
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  Given a graph of some function $f(x)$ (a cubic), the student is asked to write the coordinates of the maximum and minimum points. The student then finds the maximum and minimum points of a second cubic function without using a graph, by finding the derivative, solving the quadratic equation that results from setting the derivative equal to zero, and finally testing the value of the second derivative.
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  Three graphs are given with areas underneath them shaded. Student is asked to determine the minimum and maximum $x$-values of the regions. This will involve solving a linear equation and two trigonmetric equations.
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  This question guides students through the process of determining the dimensions of a box to minimise its surface area whilst meeting a specified volume.
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  Another practical application of differentiation
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  Solve a trigonometric equation
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  This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.
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  Simplifying expressions such as $b^{\log_b(x)}$ and $b^{\log_b(x)}$.

There are no questions in this group.