First, the teaching purpose:

1, the definition of derivative is to find the derivative of piecewise function at piecewise point; Can solve the tangent equation and normal equation of plane curve, understand the physical meaning of derivative, and describe some physical quantities with derivative.

2. Be familiar with the four algorithms of derivatives and the derivative rules of compound functions, the derivative formulas of basic elementary functions and the first and second derivative methods of elementary functions; Knowing the four algorithms of differential and the invariance of first-order differential form, we can find the differential of function; Understand the application of differential in approximate calculation.

3. If you understand the concept of higher derivative, you will find the n-order derivatives of some simple functions.

4. Find the derivative of implicit function.

5. Find the first and second derivatives of the function determined by the parametric equation and the derivative of the inverse function.

6. Understand the concept of correlation rate of change.

Second, the teaching focus:

1, the concept of derivative and its geometric significance; The relationship between derivability and continuity; Left and right derivatives;

2. Four algorithms of derivative, derivative of compound function and derivative formula of basic elementary function;

3. Derivative of composite function; Implicit function and function derivative determined by parametric equation

4. Higher derivative;

5. The concept of differentiation.

Third, the teaching difficulties:

1, the derivative rule of composite function;

2. The derivative of piecewise function at piecewise point;

3. Derivative of implicit function

4. The second derivative of the function determined by the parametric equation.

The lesson plan can be referred to:/view/a493653183c4b4cf7cd145.html.