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Degree: Computer Science (Bachelors) - Edinburgh University
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SAT II Math 2 - 800/800
Mathematics school leaving examination(Matriculation) - 100% (I come from education system different from the UK one).
|Maths||A Level||£20 /hr|
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|Mathematics Matriculation- Final year exam||A-Level||6.00|
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|SAT Subject Test Mathematics 2||A-Level||800|
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There are several methods of finding the extrema(plural of extremums or in other words minimum or maximum values) of a function.
For now we will analyse the function using the dy/dx of f(x)=y=x2 +1, f`(x) = 2x
The sign of the diferentiation of the function change at x=0. Therefore for x<0 dy/dx<0 and the function is declining. For x>0 dy/dx>0 and the function is uprising. We can conclude that there is a minimum at x=0. We cannot find a maximum of the function as it approaches infinity.
We know that for equation ax^2+bx+c=0
a = 2,b = 3,c = -5
If the roots x1 and x2 are real numbers:
x1 + x2 = -b/a = -3/2
x1*x2 = c/a = -5/2