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Nature Table. Leibniz Notation. Equation of tangent line. x. -1. 2. 5. -. +. f’(x). 0. Straight Line Theory. Max. Gradient at a point. f’(x)=0 Stationary Pts Max. / Mini Pts Inflection Pt. Graphs f’(x)=0. Derivative = gradient = rate of change. Differentiation - PowerPoint PPT Presentation
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Differentiationof Polynomials
f(x) = axn
then f’x) = anxn-1
Derivative = gradient = rate of change
Graphsf’(x)=0
54
2( )
3f x
x
5
42( )
3
xf x
9
4
94
552'( )
3 6
xf x
x
1
2( ) 2 1f x x x 3 1
2 2( ) 2f x x x 1 1
2 21
'( ) 32
f x x x
1
21
'( ) 32
f x xx
f’(x)=0Stationary PtsMax. / Mini Pts
Inflection Pt
Nature Table
Max
-1 2 5+ 0 -
xf’(x)
Gradient at a point
Equation of tangent line
Straight LineTheory
Leibniz Notation
'( )dy
f xdx
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