Differentiation by first principles or whtever

[wild lintel]

so do you know about the

small angle sin approximation

@soft lintel

awesome so

when x is small, sin(x) is about x

so as x gets close to 0

sin(x) / x gets closer to

x/x

x/x is just 1

yeah but

whats 0/0

like the issue with going to 0 is /0 doesnt make sense

ah no dividing by 0 is always a nono

ok nw!

this is the kinda bs that if you do fmaths you get a bit more answer to but

in alevel its just kinda 'it just is'

ah well now when your close to 0

exafctly

well you have

(1 - h^2/2) - 1 / h

aka -h/2

h -> 0 , -h/2 -> 0

yeah or at least you can use them to help remember

no worries!