第12讲 微分 视频课程
第12讲 微分
视频时长
52 分钟
建议学时
4-5 小时
语言
中文
由于视频文件较大，加载可能需要几分钟。感谢您的耐心等待。
学习目标
- Understand the derivative as the gradient of a tangent and as a rate of change.
- Differentiate functions of the form (for rational ), , and sums/differences of such functions.
- Apply differentiation rules (including product, quotient, and chain rules for more complex functions if encountered).
- Calculate and interpret second-order derivatives.
- Find equations of tangents and normals to curves.
- Locate stationary points (maxima, minima) and determine their nature using first or second derivatives.
- Identify intervals where a function is increasing or decreasing.
- Understand the relationship between differentiation and integration via the Fundamental Theorem of Calculus.
- (MAT only) Understand the concept of differentiation from first principles.
