User:Apocryphax64

$$n$$th Derivative of Any Monomial
$$f(x)=ax^{r/t}$$

$$f^n(x)=a\dfrac{(\prod_{i=0}^{n-1} (r-ti))}{t^n}x^{\frac{r}{t}-n}$$ $$where \frac{r}{t} \not \in \mathbb{P}$$

Numbers are Useless
$$a + b = t$$

$$(a + b)(a - b) = t(a - b)$$

$$a^2 - b^2 = ta - tb$$

$$a^2 - ta = b^2 - tb$$

$$a^2 - ta + (t^2)/4 = b^2 - tb + (t^2)/4$$

$$(a - t/2)^2 = (b - t/2)^2$$

$$a - t/2 = b - t/2$$ (incorrect to assume only positive root)

$$a = b$$