引言
数学，尤其是高等数学中的求导数，常常让人感到神秘和复杂。但其实，只要我们从基础入手，即使是小学生也能轻松理解并掌握求导数的技巧。本文将通过一些基础的填空题，帮助小学生逐步建立起对求导数的认识。
一、什么是导数？
导数是描述函数在某一点附近变化快慢程度的量。简单来说，就是函数在某一点的斜率。求导数是微积分学中最基本的概念之一。
二、求导数的基本法则
1. 常数法则
- 如果( f(x) = c )（其中( c )是一个常数），那么( f’(x) = 0 )。
2. 常数乘法法则
- 如果( f(x) = c \cdot g(x) )，那么( f’(x) = c \cdot g’(x) )。
3. 和差法则
- 如果( f(x) = g(x) + h(x) )，那么( f’(x) = g’(x) + h’(x) )。
4. 积法则
- 如果( f(x) = g(x) \cdot h(x) )，那么( f’(x) = g’(x) \cdot h(x) + g(x) \cdot h’(x) )。
5. 商法则
- 如果( f(x) = \frac{g(x)}{h(x)} )，那么( f’(x) = \frac{g’(x) \cdot h(x) - g(x) \cdot h’(x)}{[h(x)]^2} )。
三、基础填空题
1. 填空题一
已知函数( f(x) = 3x^2 + 4 )，则( f’(x) = _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________