1. Direct derivative method: This is the most basic derivative method, which is suitable for simple functions. Direct derivation is to derive a function by using the definition of derivative. For example, for the constant function f(x)=C, its derivative is 0; For the power function f (x) = x n, its derivative is NX (n-1); For the exponential function f (x) = e x, its derivative is e x.
2. Using the properties of derivative: derivative has some basic properties, such as the derivative formula of constant, power, sum and product, which can simplify the process of derivation. For example, for the sum or difference of two functions, its derivative is equal to the sum or difference of the derivatives of these two functions; For the product of two functions, its derivative is equal to the derivative of the first function multiplied by the second function plus the derivative of the first function multiplied by the second function.
3. Use the chain rule: the chain rule is a method to find the derivative of complex variable function, which is suitable for complex variable function. The formula of chain rule is dy/dx=dy/du*du/dx, where u is the intermediate variable.
4. Derivation by using implicit function: Derivation by implicit function is a method to derive the derivative of function by using one or more unknowns. The basic idea is to transform the original problem into a problem with only one unknown, and then solve the derivative of this unknown.
5. Derivation by using parametric equation: Parametric equation is a method of expressing two or more variables with one or more parameters. The derivation method of parametric equation is to turn parametric equation into constant equation, and then solve the derivative of this constant equation.
The above are some simple methods of derivative, but it should be noted that different functions may need to use different derivative methods, so when solving specific problems, it is necessary to choose the appropriate derivative method according to the specific form of the function.