Teach me calculus in one thread

>>8284040
derivative if the slope of the graph

derivative of units is rate of change with respect to something

integral is the area under the graph if you cut it into infinitely small pieces

integral of f(x,y)dy = f(x) + C

>>8284043
The last one is wrong. Integral of f(x,y)dy = F(y) + c(x).

>>8284046
yeah i noticed

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>>8284040

>>8284043
So i know calculus now?

>>8284063
pretty much

and if you know algebra you how to take derivatives and integrals

>>8284058
interesting stuff, anon.
what's with this "^" roof though? mean x?
at the gradient for example.
[math] \frac{\delta f}{\delta x} \cdot \^{x} + ... [/math]

1. Buy a fucking book
2. Get the fuck out.

>>8284067
vector notation

it's called a hat and means in the direction of

>>8284069
i forgot to mention it's equal to 1 in length/value hence it only gives direction

>>8284069
ahh so it's like the unit vektor.
thanks just remembered.

I made this for you, OP.

File: calc.jpg (1MB, 1512x4540px) Image search: [Google]

1MB, 1512x4540px

>>8284884

Let me try that again.

File: Matha.jpg (766KB, 2000x2000px) Image search: [Google]

766KB, 2000x2000px

Ages ago I made a thread where I proposed stamping all of our mathematics onto the metal of our deep space satellites so that if extra terrestrial intelligence ever found it they would be able to decode our math. This is what I ended up with. Might help.

>>8284963
Why is there the -1/12 meme sum?

>>8284963
>using 3-3=0 and 4/4=1 in an attempt to explain symbols for subtraction and division
pretty retarded tbqhfam, i only got so far but there's many more potential operations that could lead to an identity when composed with itself