Gradient at a point

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Slide 1: 

The gradient of a CURVE?

Slide 2: 

Gradients BETWEEN points on the curve

Slide 7: 

Gradient AT a point on the curve touches once (TANGENT)

Slide 9: 

y=3x

Slide 10: 

For y=3x When x = The gradient was -1 0 1 3 3 3 The function y=3x has the gradient function y = 3

Slide 11: 

Gradient of 2 Gradient of 0 Gradient of -2 y=x2

Slide 12: 

For y=x2 When x = The gradient was -1 0 1 -2 0 2 The function y=x2 has the gradient function y = 2x

Slide 13: 

y=x3+2x2-4x-3

Slide 14: 

When x = The gradient was -3 -2 -1 0.7? 1 2 ? y=x3+2x2-4x-3 11 0 -5 0 3 16

Slide 15: 

Here are the graphs and their GRADIENT FUNCTIONS

Slide 16: 

y=3x y=3

Slide 17: 

y=x2 y=2x

Slide 18: 

y=x3+2x2-4x-3 y=3x2+4x-4

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