1. Differentiation from first principles
f(x+h) A
f(x) x
x + h
Gradient of AP =

2. Differentiation from first principles
f(x+h) A
f(x) x
x + h
Gradient of AP =

3. Differentiation from first principles
f(x+h) A
f(x) x
x + h
Gradient of AP =

4. Differentiation from first principles
f(x+h) A
f(x) x
x + h
Gradient of AP =

5. Differentiation from first principles
f(x+h) A
f(x) x
x + h
Gradient of AP =

6. Differentiation from first principles
f(x) x
Gradient of tangent at A =

7. Differentiation from first principles
f(x) = x2

8. Differentiation from first principles
f(x) = x3