利用导数研究函数单调性问题举隅

The Monotonicity Problem Study the Derivative Function For Example

数学是高中阶段学科教学的一门基础科学。通过高中数学必修I的学习,学生已经知道了增函数、减函数和单调函数的意义,并且会用增函数、减函数的定义判断或证明函数在给定区间的单调性。随着学习的深入,在选修系列1-1和选修系列2-2中,通过导数的学习,学生就会发现,用导数判断或证明函数在给定区间的单调性要简捷很多。

Mathematics is a basic science high school teaching.Through the high school mathematics compulsory I learning,students already know the increasing function,decreasing function and monotone function,and will be defined by increasing function, decreasing function of judgment or proof function monotonicity in the given interval. With the in-depth study,in Elective Series 1 - 1 and 2 - 2 elective series, the derivative of the learning, students will discover that, with the derivative or proof function monotonicity in the given interval should be short.