2. What is Being Learned?
• What differentiation is
• Rule to differentiate
• Know what the derivative is.
3. Consider
how quickly a flower grows
the water level in a barrel
decreasing due to a leak
how fast a rocket goes
All to do with
rates of change
4. Distance
Time
On a graph, gradient measures
rate of change
gradient of a curve?
Use tangent at
required point
5. Finding THE Rule
Sketch y = x2
x -3 -2 -1 0 1 2 3
y 9 4 1 0 1 4 9
Plot point at x = 1
Draw tangent
Find gradient of tangent
Repeat for x = 3 and x = -2