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Firstly we must change it into a form we can deal with. To do this we take the natural log (ln) of both sides.ln(y)=ln(a^x) ln(y)=x(ln(a))    using our rules of logsFrom here we differentiate. T...

For this we are going to test our knowledge of discriminats and factorisation. Firstly we will format the equation as (m+8)x²+8x+(m-7)=0From here we can see it takes the form ax²+bx+...

Every word has a function in a sentence. Sometimes, we can take words away and the sentence still makes sense. However, at other times, some words are essential for the sentence to not sound 'odd.' Say...

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

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...