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Differentiation
Review of Gradient and Original Functions
Notations for the derivative (investigation) LIVE
Rate of change functions
Deriving the Power Rule
Power Rule (x^n)
Derivative of a Sum (x^n)
Power rule (ax^n)
Derivative of a Sum (ax^n)
Power rule (x^n and ax^n)
Derivative of a Sum (x^n, ax^n)
Further derivatives using power rule
Derivative of a polynomial (expansion then power rule)
Evaluate Derivative at a point
Tangents (gradients and equations using power rule)
Simple applications (using power rule only)
Speed, displacement and velocity
Key Features of Graphs and the Derivative
Sketching functions using derivative information
Lesson
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Maximums and Minimums Using Calculus (power rule only)
Primitive Functions
Applications of primitive functions
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New Zealand
Level 7 - NCEA Level 2

Sketching functions using derivative information

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Outcomes

M7-9

Sketch the graphs of functions and their gradient functions and describe the relationship between these graphs

91262

Apply calculus methods in solving problems

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