Secondly, the introduction of derivative explains all kinds of knowledge of function from another angle, which provides a very simple tool for monotonicity, visualization, extreme value and maximum value of function and changing trend of function, broadens students' horizons, makes them feel the role of learning and arouses students' interest in exploration.
Third, the geometric meaning and physical meaning of derivatives link algebra, geometry, physics and other disciplines together, which is the mutual penetration between disciplines, so that students can feel the role of mathematics as the most basic discipline of various disciplines, guide them to learn mathematics, and have a sense of accomplishment.
Fourthly, through the application of inverse derivative in solving real life problems, it fully embodies the role of mathematics in real life, stimulates students' thirst for knowledge and sense of accomplishment, and stimulates their interest in learning mathematics.