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When differentiating you find the gradient of the function/line, this means how fast does the function goes up or down.

Chain rule: First resolve the log differential, then resolve the fraction integration either by knowing the formula for it or by writing (e^x+1)/(e^x-1) as (e^x+1)(e^x-1)^(-1) and applying chain rule agai...

First we look at the probability of producing a total ensemble which is 1/(n+m)!. This is in any random order and any part either m or n
To further see what is going on let’s take some example let’s ...

42x^(5/2)-10x

So, working out the different side lengths of the triangle is going to help find the area at the end. We split the ratio up into 3s and show them as a proportion of the whole perimeter. For example, one s...