How to use this course
Example 1: Distance/Speed/Acc
Example 2: Finding Max height of a particle projected vertically
Recap: Finding turning points (Local max, local min)
Example 1: Maximum volume of a box from a square sheet of material
Example 2: Maximise the volume of a cylinder with a given surface area
Example 3: Finding the dimensions to maximise a water tank with a given surface area
Example 4: Minimise the surface area with a set volume
Example 5: Minimise surface area of an open top box
Example 6: Maximise the sector or a circle , with a perimeter of 100m
Example 7: Finding maximum volume of a cone, if the slant height is 12cm
Related Rates of Change
Example 1 The Area of a square is changing as the lenght of its side is changing every second.
Example 2 The volume of a sphere is increasing find the rate the radius is increasing
Example 3: Find the rate of change of a sphere when the radius is changing
Example 4: Find the rate of change of the radius if the volume of the sphere is changing
Example 5: Air is escaping from a sphere find the rate of change of the radius
Example 6: Find the rate of change of the volume of a cylinder
Example 7 Rate of change of the radius of a cylinder as the volume changes
Example 8 Area of a circle is changing as the radius changes
Example 9: The Radius of a circle is changing find the rate of change of the area
Example 10: Cube find dv/dt
Example 11: Finding the rate of change of the side of a cube
Example 12: 2016 Q7(a) The volume of a sphere is changing, find the rate of change of the radius
Example 13: 2016 Q7(b) Find the rate of change of the surface area of the sphere
Example 14 : 2015 Oil Slick question ( Volume of a cylinder is changing find the rate of change of the radius)
Example 14 b: 2015 Q8: Area of oil slick is changing
Example 15: 2014 (sample) Snowball question part(a)
Example 16: 2014 (Sample) Rates of change Snowball part b
Example 17: 2013 Q8 Rain drop question. Find the rate of change of the radius
Example 18: 2012 Q7 Cylinder find dv/dt as water flows from a tank
2018 P1 Q8 Increasing functions/Points of inflection
Show a function has no turning points
2019 P1 Trigonometric function, max/min showing function is increasing or decreasing
Finding an the coefficients of a function given the max point and P.O.I
Graphs of Derivatives, increasing and decreasing functions