主要内容
微分学
证明和解释基本倒数规则。
基本导数法则告诉我们如何对常数函数、常数乘以函数，以及函数加／减进行求导。
| 常数法则 | start fraction, d, divided by, d, x, end fraction, k, equals, 0 | |
| 常数乘法法则 | start fraction, d, divided by, d, x, end fraction, open bracket, k, dot, f, left parenthesis, x, right parenthesis, close bracket, equals, k, dot, start fraction, d, divided by, d, x, end fraction, f, left parenthesis, x, right parenthesis | |
| 加法法则 | start fraction, d, divided by, d, x, end fraction, open bracket, f, left parenthesis, x, right parenthesis, plus, g, left parenthesis, x, right parenthesis, close bracket, equals, start fraction, d, divided by, d, x, end fraction, f, left parenthesis, x, right parenthesis, plus, start fraction, d, divided by, d, x, end fraction, g, left parenthesis, x, right parenthesis | |
| 减法法则 | start fraction, d, divided by, d, x, end fraction, open bracket, f, left parenthesis, x, right parenthesis, minus, g, left parenthesis, x, right parenthesis, close bracket, equals, start fraction, d, divided by, d, x, end fraction, f, left parenthesis, x, right parenthesis, minus, start fraction, d, divided by, d, x, end fraction, g, left parenthesis, x, right parenthesis |
AP微积分课程不要求我们证明这一事实，但我们相信只要可以证明，我们就可以从中学习。一般来说，能够用某种证明去证实学到的定理是对的，总是好的。