E2.12 Differentiation
- Syllabus
- 0580–2028–2029
- Topic
- E2.12
- Level
- Extended
E2.12.1 Estimate gradients using tangents
- Estimate gradients of curves by drawing tangents.
E2.12.2 Differentiate simple power functions
- Use derivatives of functions of the form axⁿ, where a is rational and n is a non-negative integer, and simple sums of no more than three such terms; dy/dx notation is required.
E2.12.3 Gradients and stationary points
- Apply differentiation to gradients and stationary points or turning points.
E2.12.4 Distinguish maxima and minima
- Distinguish maxima and minima using an accurate sketch, the second derivative or the gradient on either side of a turning point; points of inflection are not required.
Objective notes
4 learning objectivesConceptIGCSE Mathematics Extended