Video lecture of L12 Differentiation
L12 Differentiation
Video Length
53 min
Est. L.H.
4-5 hr
Language
Chinese
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Learning Objectives
- 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.
Lesson Practices
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