User:GFauxPas

My sandbox

I'm just some novice math student in college trying to learn Calculus. No fancy letters attached to my name.

Copy paste
For my own benefit




 * : $\S 0.0$


 * See note on Discussion page
 * See note on Discussion page


 * $\S 2.2, \ \S 2.5$
 * $\S 2.2, \ \S 2.5$

Let $y = f\left({x}\right)$ be a real function which is continuous on the closed interval $\left[{a..b}\right]$ and differentiable on the open interval $\left({a..b}\right)$.

Let $y = f\left({x}\right)$ be a real function which is continuous on the closed interval $\left[{a..b}\right]$ and continuously differentiable on the open interval $\left({a..b}\right)$.

Let $x=f\left({t}\right)$ and $y=g\left({t}\right)$ be real functions of a parameter $t$.

Let these equations describe a curve $\mathcal C$ that is continuous for all $t \in \left[a..b\right]$ and continuously differentiable for all $t \in \left(a..b\right)$.

differentiate both sides WRT $x$

User:Prime.mover/Constructs

Words Learned from Prime.mover
boffin

concatenation

get the lead out

malarkey

mea culpa

piffle

pusillanimous

spurious

waffle

Declaration of Intent
If I put a proof on PW, I give it to the readers of PW, to help people learn math. You do not need to ask my permission to change the style, language, and notation of my proofs (though of course I might change your changes). If you'd like, tell me on my talk page why you changed it.