so you know how the symbol for differentiation, which finds the gradient, is dy/dx?
its the change in y / the change in x
this is equal to the gradient formula, y2-y1 / x2-x1
also if you take like, for example y = 4x
using differentiation we can immediately find
y' = 4
do it manually:
at x=1, y=4
at x=2, y=8
m = 8 - 4 / 2 - 1
= 4/1
=4
and then in integration because its the reverse of differentiation, you times it by dx instead of dividing it by. thats what the dx on the end is
yeah, its 1 am.
5 comments:
Wait what?
Explain with an example with your dx multiplication logic.
integration is the (dy/dx)dx
so essentially y.
to put it another way
integration is the integral of y*dx;
eg.
as 1/x=dx/dy
x=dy/dx
dy=x.dx
y=x.dx
or the integral of x essentially as x is the derivative.
If that makes sense.
* and . are times by the way
yeah i know. i realised that like months ago.
Surprisingly, even after a semester of having two maths subjects, I haven't done a single bit of integration.
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