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Maths Gradients Investigation

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Katie Curtis 5L                        Page

Maths Coursework 2001

This coursework is all about finding different gradients. The gradient of y = x² or y= x³.

The first graph I will do is y = x².


I have found the gradients for all of the numbers shown, I did this by

...read more.


The gradient of point (3,9) is 3.

This table shows my results


The difference between each one is obviously 2, so my formula must be..  Gradient = 2x

I will now show the gradients of chords starting at the point (2,4) and finishing at various other points

...read more.


= (a + h)² - a²

= 2ah + h²

and also

PR         = h

So the gradient of the chord PQ is

RQ        = 2ah + h²

PR                h

        = h(2a + h)


        = 2a + h

As h gets smaller it would be stupid to add it onto the formula, so this proves that my original formula was correct as 2a is now left in the formula.

...read more.

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