IB DP Maths: AI HL复习笔记5.1.2 Applications of Differentiation
Increasing & Decreasing Functions
What are increasing and decreasing functions?
How do I find where functions are increasing, decreasing or stationary?
- To identify the intervals on which a function is increasing or decreasing
Worked Example
Tangents & Normals
What is a tangent?
- At any point on a curve (the graph of a (non-linear) function), the tangent is the straight line that passes through that point and has the same gradient as the curve at that point
How do I find the equation of a tangent?
What is a normal?
- At any point on a curve (the graph of a (non-linear) function), the normal is the straight line that passes through that point and is perpendicular to the tangent at that point
How do I find the equation of a normal?
Exam Tip
Worked Example
Local Minimum & Maximum Points
What are local minimum and maximum points?
How do I find the coordinates and nature of stationary points?
Worked Example
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