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High school mathematics derivative? Calculus, definite integral and so on?
To sum up briefly:

Derivatives: refers to

independent variable

At some point, when the increment of the independent variable is infinitely short.

function

The speed of change

geometry

It means the function is at that point.

tangent

slanting

. It should be noted that there is a special case: the derivative is infinite, which means that the tangent of this point is perpendicular to the axis of the independent variable.

Definite integral: in essence, it's just summation, basic.

Mathematical thought

Is based on

straight line

produce

curve

This is too much, you can check it yourself.

deliver letters

Calculus: including differential (derivative), integral calculus, integral calculus also includes.

indefinite integral

And definite integral, which involves

Advanced mathematics

Not much to say,

High school mathematics

Just figure it out

newton

Leibniz

formula

Do it.