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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

3
Simple Differentiation

How can we find an equation to calculate the gradient of a curve at any given point? Differentiate.

Differentiation using limit as h --> 0 then simple differentiation.

Demonstration of differentiation & graphs (Contains macros)

Class Notes | Blank Notes

Ex14.02, 14.03

Nulake AIS p79, 80, 81

 

Gradient of a parabola
Gradient of a cubic

4

Differentiation practice

Differentiation practice and finding the derivative of fractional & negative powers

Power point: Basic Differentiation

 

Class Notes | Blank Notes

Ex14.04, 14.05

 

Free maths help web site

 

 

 

 

The derivative is a rule which tells us the gradient at any point on a curve.

Function Notation

Rule for the ORIGINAL graph

Derivative Notation

Rule for the GRADIENT of the original graph

Mouse over the boxes below to see examples
Substituting an x value into the derivative will tell us the gradient of the curve at that x value.
 
Class Notes | Blank Notes Screen shots:

Class Notes | Blank Notes Screen Snaps

 

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