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Derivative in high school mathematics which book?
Compulsory 1: function, basic elementary function (including exponential function, logarithmic function and power function)

Compulsory 4: trigonometric function (including sine function, cosine function and tangent function)

Of course, there is also the elective course 1 learning derivative, which is also a function, but it is not a specific function, just a tool.

If the function f(x) is given, find its derivative at a certain point. If the condition is the first derivative of the function, we can only use the definition of derivative, that is, the limit to find the derivative. If the condition is that the function is continuously derivable in the first order, it can be directly derived.

Extended data:

For differentiable function f(x), x? F'(x) is also a function called the derivative function of f(x). The process of finding the derivative of a known function at a certain point or its derivative function is called derivative. Derivative is essentially a process of finding the limit, and the four algorithms of derivative also come from the four algorithms of limit.

Conversely, the known derivative function can also reverse the original function, that is, indefinite integral. The basic theorem of calculus shows that finding the original function is equivalent to integral. Derivation and integration are a pair of reciprocal operations, both of which are the most basic concepts in calculus.

Baidu encyclopedia-derivative