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Anti-differentiation

Calculus HOME | Achievement Objectives | Gradient | Gradient Functions | Differentiation | Gradient at a point | Find point with gradient | Equation of Tangent | Second Derivitive | Coordinates of Max & Min | Increasing, Decreasing Functions | Applications | Kinematics with differentiation | Antidifferentiation | Finding 'C' | Kinematics with anti-differentiation | Rates of Change | Mixed Problems | Revision

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Anti-differentiation

Anti-differentiation: introducing the notation involved and the process of anti-differentiation, relating this to the graph of a function. Practicing skills

Basic Anti-differentiation

Class Notes | Blank Notes

Ex16.01

NuLake p101

 

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Harder Anti-differentiation

Anti-differentiation: introducing the notation involved and the process of anti-differentiation, relating this to the graph of a function. Practicing skills

 

Class Notes | Blank Notes

Ex 16.02

NuLake p102

 

 

Positive powers

Anti-differentiate positive
Steps: Example
Add 1 to the power
Divide by the NEW power

Mouse over key words

 

Remember the integrating constant. 'C'
Anti differentiate 6x2 + 5 + 0 gives 3x +5x + C

 

A constant has x multiplied

eg. Anti-differentiate 4 gives 4x

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Fractional powers

Remember:
  Example
Steps:
Add 1 to the power

Divide by the NEW power
(multiply by the inverse)

Mouse over key words

 

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Negative powers

Remember: 
  Example
Steps:
Add 1 to the power
Divide by the NEW power

Mouse over key words

 
Remember to ADD to the power (becomes less negative)

 

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