Concepts of derivative and differential, geometric meaning and physical meaning of derivative, relationship between derivability and continuity of function, tangent and normal of plane curve, four operations of derivative and differential, derivative of basic elementary function, composite function, inverse function, differential method of implicit function and function determined by parametric equation, higher derivative, invariance of first-order differential form, differential mean value theorem, L'H?pital's law, discrimination of monotonicity of function, extreme value of function, etc.

(b) Frequently asked questions

1. Discussion on the definition of derivative;

2. Calculation of derivative and differential (including higher derivative);

3. Calculation of tangent and normal;

4. Test the monotonicity of the function;

5. The problem of finding the extreme value, inflection point and asymptote of the function;

6. Investigate the related properties of functions and their derivatives.