#3.4A
understand the concept of a variable rate of change
#3.4B
differentiate integer powers of \(x\)
#3.4C
determine gradients, rates of change, stationary points, turning points (maxima and minima) by differentiation and relate these to graphs
Find the coordinates of the maximum and minimum points
#3.4D
distinguish between maxima and minima by considering the general shape of the graph only
#3.4E
apply calculus to linear kinematics and to other simple practical problems
The displacement, \(s\) metres, of a particle from a fixed point \(O\) after \(t\) seconds is given by:
\(s = 24t^2 - t^3, 0 \leq t \leq 20\)
Find expressions for the velocity and the acceleration.