# Scratch paper - DILET1/retardlevelprogramming2022 Wiki

Miscellaneous and useless stuff, generally related to how I suck at math. Peruse at your own digression. 6/23/2022 : "okay so let's find the derivative of this function. Now to do this, we need to use the chain rule. So the chain rule states that the derivative of f(g(x)) is g'(x) * f'(g(x)). So now we need to find the derivative of g(x). To do that, we need to use the chain rule again. So for the inner function, we need to use the division and power rules, which state that the derivative of f(x)/g(x) is {[g(x)*f'(x)] - [f(x)*g'(x)]}/g(x)^2 and the derivative of ax^n = anx^(n-1). Now for the outer function, we need to use the product rule, which states that the derivative of f(x)*g(x) = f'(x)g(x) + g'(x)f(x). Cool, so after you've plugged in those values and simplified to the best of your abilities, we'll use the multiplication rule from earlier to find the derivative of f(x), then use that to plug values into the chain rule again and then we'll simplify." - me when the derivative 3/9/2022 : s q u a r e r o o t s o f r a d i c a l s 3/3/2022 : very epic essay gaming 3/2/2022 : yay i can do logs now veri nice 2/27/2022 : logarithmic identities wtf why can't i remember them i literally proved them yesterday aaaaaaaaaaaaaaa isn't it sad how i'm using this github wiki as a blog because i have no friends 2/24/2022 : literally updating this thing in chinese class. Why can't i be better at math