BobaFret
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 8 Why is gradient the direction of steepest ascent? 4 Finding the $n$-th deriviative of $f(x) =e^x \sin x$, solving the recurrence relation 3 Check my workings: Show that $\lim_{h\to0}\frac{f(x+h)-2f(x)+f(x-h)}{h^2}=f''(x)$ 3 existence of a normal subgroup 3 $f$ has a zero at $z_o$ and $g$ has a pole at $z_o$. Prove that $fg$ has a removable singularity at $z_o$?

### Reputation (607)

 +50 Why is gradient the direction of steepest ascent? +10 existence of a normal subgroup +10 Calculation of subgroups of $(Z_{12}, +)$ +10 Check my workings: Show that $\lim_{h\to0}\frac{f(x+h)-2f(x)+f(x-h)}{h^2}=f''(x)$

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### Tags (38)

 14 calculus × 8 6 complex-analysis × 5 8 group-theory × 4 4 recurrence-relations 8 derivatives × 3 3 linear-algebra × 4 8 sequences-and-series × 3 3 geometry × 2 8 gradient-flows 3 limits

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 Mathematics 607 rep 314