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A normal curve is shown, with the mean and +/- 1, 2 and 3 standard deviations marked. An area of the curve is shaded and students are asked to estimate the shaded area using the heuristic rule. There are 6 possible areas: (-infty, mu-2sd), (mu-2sd, mu-1sd), (mu-1sd,mu), (mu, mu+1sd), (mu+1sd, mu+2sd), (mu+2sd, infty). The mean and standard deviation are randomised.

Using the chain rule within product rule problems.

An introduction to using the quotient rule

Using the chain rule with polynomials.

Identifying the correct rule to use

Introduction to using the product rule

An introduction to using the quotient rule

Identifying the correct rule to use

Using the chain rule with polynomials

Using the chain rule with polynomials

Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d $.

Using the chain rule within product rule problems

Identifying the correct rule to use

An introduction to using the quotient rule

Identifying the correct rule to use

Identifying the correct rule to use

Identifying the correct rule to use

Using the chain rule with polynomials and negative powers.

Introduction to using the product rule

Using the chain rule with polynomials and negative powers

Introduction to using the product rule

Using the chain rule within product rule problems

An introduction to using the quotient rule

An introduction to using the quotient rule

Identifying the correct rule to use

Using the chain rule with polynomials

Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.

This question asks students to find the distance from an aircraft to a given marker. Angle of depression of 2 markers from the aircraft are given and the distance between the markers on the ground (all randomised). Students need to use the sine rule to find the answer. The workding of the question makes googling the answer difficult.

Student is asked to find the distance from a given point, A, to a house, given the distance between A and another point B, and the angles at A and B. Requires use of the sine rule. Distance and angles are randomised.