C6: Describing change - an introduction to differential calculus

Differential Calculus (PDF*790kb)
  Introduction  p. 105 
6.1 Rate of change – the problem of the curve  p. 106 
6.2  Instantaneous rate of change and the derivative function  p. 119 
6.3  Shortcuts for differentiation
6.3.1        Polynomial and other power functions
6.3.2        Exponential functions
6.3.3        Logarithmic functions
6.3.4        Trigonometric functions
6.3.5        Where can’t you find a derivative of a function? 
p. 123
p. 123
p. 132
p. 134
p. 138
p. 141 
6.4 

Some applications of differential calculus
6.4.1        Displacement-velocity-acceleration: when
                 derivatives are meaningful in their own right 
6.4.2        Twists and turns
6.4.3        Optimization

p. 144 
p. 145

p. 149
p. 159
6.5  A taste of things to come   p. 167 
6.6 Post-test   p. 169
6.7 Solutions p. 170