BROTHER CALCULUS, WHAT IS DIFFERENTIATION?
Differentiation is the method of measuring the rate of change of something.
WHAT THE FUCK DOES THAT MEAN?
Say if you run between two points, a and b, and you know how long it takes, you can get velocity.
We’d say you differentiate x (displacement) with respect to t (time). This is most commonly written as dx/dt.
WHERE THE FUCK DID THE d’s COME FROM?
d is just an Anglicised form of the greek letter delta ( Δ ), which, in this case, means difference.
dx means difference in x, which is b-a in this example. dt is finish time minus starting time.
WHAT IF I WANT TO GET ACCELERATION?
Then you differentiate again with respect to time: d/dt(dx/dt) = d^2x/dt^2
No problem, squire.
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