SL AA – Differentiation

Limits

sin, cos, ln, e

Inflexion Points

Tangents/Normals

Product/Quotient

Optimisation

Chain Rule

Maximum/Minimum

Differentiation Review

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Learning Outcomes
Understand the concept of a limit from a table or graph.
Understand that the derivative is a gradient or rate of change function, and its notation.
Understand when functions are increasing or decreasing.
Simple derivatives by reducing the powers, e.g axn
Find the equations of tangents and normals to functions.
Derivatives of sinx, cosx, lnx, and ex.
Use and understand the chain rule.
Use and understand the product and quotient rules.
Understand the concept of maximum and minimum points.
Find the second derivative, and use this distinguishing between maximum and minimum points
Finding points of inflexion.
Using differentiation for solving optimization problems.