Uses JSXGraph to generate a plot for a cubic, with given critical points, along with three other incorrect graphs with modified properties. JSXGraph code is commented.

Given a set of curves on axes, generated from a function and its first two derivatives, identify which curve corresponds to which derivative.

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

Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

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

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

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

This custom function draws a tree diagram with a random number of branches (branch1 and branch2).

A graph of a straight line $f$ is given. Questions include determining values of $f$, of $f$ inverse, and determing the equation of the line.

A function of the form f(x)= sin(ax+b) is given and plotted. A few points are plotted on the curve. $x$-coordinates are provided for two of them and $y$-coordinate provided for third. Student is required to determine other coordinates.

A constant function is drawn and is labelled f'. Student is asked to select the graph which could be f.

A graph of a straight line $f$ is given. Questions include determining values of $f$, of $f$ inverse, and determing the equation of the line. Non-calculator. Detail advice is given.

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

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

5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

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

A question to test basic differentiation of functions, including powers of x, trig, log and exponential functions.

Differentiate the function $(a + b x)^m  e ^ {n x}$ using the product rule.

Differentiate $ (a+bx) ^ {m} \sin(nx)$

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

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Addition Formulas in Trigonometry. Range of Sinusoidal functions. 

I created this question, and every other question in Multiple Integration, for my dissertation `Computer-Aided Assessment of Multiple Integration'.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

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

rebelmaths

Questions on powers, the laws of indices, and exponential growth.

Use a series of difference tables to determine the coefficients of a degree three polynomial function from a set of data values, equally spaced over the x-axis.

Find the solution of a first order separable differential equation of the form $a\sin(x)y'=by\cos(x)$.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Solve a Differential equation with a repeated linear factor & a delta function