Ten questions. The result tells you which lessons you may skip.
What does the symbol \(dy/dx\) stand for?
A stone falls \(y = 5t^2\) metres in \(t\) seconds. What is its average speed from \(t = 1\,\text{s}\) to \(t = 2\,\text{s}\)?
On a position-time graph, the slope of the tangent at an instant gives
What is \(\dfrac{d}{dx}\left(4x^3 + 7\right)\)?
A body gains mass while it moves, so both \(m\) and \(v\) change. The net force \(d(mv)/dt\) is
What is the derivative of \(\sin 3t\) with respect to \(t\)?
Which function is its own derivative?
A particle moves with \(x = 2t^3\) metres. What is its acceleration at \(t = 1\,\text{s}\)?
At a smooth maximum of \(y(x)\), which is true?
A \(5\,\text{m}\) ladder has its foot \(3\,\text{m}\) from a wall, sliding away at \(0.8\,\text{m/s}\). How fast does its top slide down?