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The Gradient Function

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  • Essay length: 6489 words
  • Submitted: 10/09/2009
  • Marked by teacher: (?) Mick Macve
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AS and A Level Core & Pure Mathematics

Teacher essay summary

5 star(s)

Generally an excellent piece of work with some sophisticated results. A good conversational style describes clearly why he is following particular lines of investigation.

Marked by teacher Mick Macve 18/03/2012

The first 200 words of this essay...

The Gradient Function

Aim: To find the gradient function of curves of the form y=axn. To begin with, I should investigate how the gradient changes, in relation to the value of x. Following this, I plan to expand my investigation to see how the gradient changes, and as a result how a changes in relation to this.

Method:

At the very start of the investigation, I shall investigate the gradient at the values of y=xn. To start with, I shall put the results in a table, but later on, as I attempt to find the gradient through advanced methods, a table may be unnecessary. As I plot the values of y=x2, this should allow me to plot a line of best fit and analyze, and otherwise evaluate, the relationship between the gradient and x in this equation.

I have begun with n=2. After analyzing this, I shall carry on using a constant value of "a" until further on in the investigation, and keep on increasing n by 1 each time. I shall plot on the graphs the relative x values and determine a gradient between n and the gradients. Perhaps further on

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MbT essay summary

Generally an excellent piece of work with some sophisticated results. A good conversational style describes clearly why he is following particular lines of investigation.

Marked by teacher Mick Macve 18/03/2012

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