1. Determine the function and parameters: first define the function you want to study and the parameters involved in the function. Suppose your function is \ (f (x; P)\), where \(x\) is a variable \(p\) is a parameter.

2. Calculate the derivative of the function: Calculate the function \ (f (x; Derivative of p) \ (f' (x; P)\). This may involve chain rule, multiplication rule, derivative rule of exponential function and so on.

3. Determine conditions: According to the background of the problem, determine the conditions that the parameter \(p\) needs to meet. This may be that the derivative of the function must be positive and the derivative of the function must be less than a certain value.

4. Establish inequality: use the calculated derivative formula to compare the obtained derivative with the condition and establish a suitable inequality. This will help you find the range that the parameter \(p\) should satisfy.

5. Solving inequality: solving inequality and finding the range of parameter \(p\). This may require algebraic operation, analysis of the characteristics of inequality, and mathematical methods to solve inequality problems.

6. Verification range: Finally, substitute the obtained parameter range into the function \ (f (x; P)\) and its derivative \ (f' (x; P)\) for verification. When the parameters are within this range, ensure that the properties of the function meet the requirements.

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Solving skills of mathematical derivatives in college entrance examination?

1. Through multiple-choice questions and fill-in-the-blank questions, the basic concepts, properties and images of functions are comprehensively examined.

2. In the problem-solving exam, questions related to functions often appear in the form of comprehensive questions.

3. Starting from the highly abstract characteristics of mathematics, we have not neglected the examination of abstract functions.

4. Some provinces and cities combine the examination of function application problems with the application of derivatives.

5. Some new function problems have appeared.

6. The function of the thought of function and equation not only involves the questions related to function, but also needs to be guided by the thought of function and equation for series, inequality and analytic geometry.

7. Polynomial derivation (finding the range of parameters in combination with inequality) and slope (finding the maximum value in combination with tangent equation and function).

8. Find extreme value, monotonicity of function, application problem, and combination with trigonometric function or vector.