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Differentiation
Notations for the derivative (investigation) LIVE
First Principles
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)
Lesson
Practice
Evaluate Derivative at a point
Tangents (gradients and equations using power rule)
Simple applications (using power rule only)
Key Features of Graphs and the Derivative
Sketching functions using derivative information
Product Rule
Quotient Rule
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India
Class XI

Derivative of a polynomial (expansion then power rule)

Lesson
Practice

Outcomes

11.C.LD.1

Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

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