一、考试概述
2022年数学一考研真题涵盖了高等数学、线性代数和概率论与数理统计三个部分。以下是各部分的详细解析及答案。
1. 高等数学
（1）选择题
- 题目：设函数\(f(x) = x^3 - 3x + 2\)，求\(f'(x)\)。
- 解析：根据导数的基本公式，\(f'(x) = 3x^2 - 3\)。
- 答案：\(f'(x) = 3x^2 - 3\)。
（2）填空题
- 题目：设\(f(x) = e^x \sin x\)，则$f’(x) = ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________