Lukas Arvidsson
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 Apr 22 awarded Popular Question Apr 19 comment Understanding Leibniz formula: $D^n (f g) = \sum\limits_{k=0}^{n} \binom{n}{k} D^{n-k}f D^kg$ Thank you for your answer! Much appreciated. Apr 19 comment Understanding Leibniz formula: $D^n (f g) = \sum\limits_{k=0}^{n} \binom{n}{k} D^{n-k}f D^kg$ Thank you for a great explanation! Apr 19 accepted Understanding Leibniz formula: $D^n (f g) = \sum\limits_{k=0}^{n} \binom{n}{k} D^{n-k}f D^kg$ Apr 17 comment Define the image of the function $f(x)= 2 \arctan x + \arcsin \frac {2x}{1+x^2}$ can you please show me how you simplify the derivative? I have tried to follow your "simple computation" but with no success. Apr 12 accepted Define the image of the function $f(x)= 2 \arctan x + \arcsin \frac {2x}{1+x^2}$ Apr 12 comment Define the image of the function $f(x)= 2 \arctan x + \arcsin \frac {2x}{1+x^2}$ Thank you very much for your answer @egreg! Apr 11 asked Define the image of the function $f(x)= 2 \arctan x + \arcsin \frac {2x}{1+x^2}$ Apr 10 comment Determine the point of intersection between $f(x) = x^2$ and its normal in the point $(a, a^2)$ Thank you very much for your answer! Apr 10 accepted Determine the point of intersection between $f(x) = x^2$ and its normal in the point $(a, a^2)$ Apr 9 comment Understanding Leibniz formula: $D^n (f g) = \sum\limits_{k=0}^{n} \binom{n}{k} D^{n-k}f D^kg$ Thank you for your comment @Luis. Please explain what you mean in a little bit more detail. Apr 8 asked Understanding Leibniz formula: $D^n (f g) = \sum\limits_{k=0}^{n} \binom{n}{k} D^{n-k}f D^kg$ Apr 1 asked Determine the point of intersection between $f(x) = x^2$ and its normal in the point $(a, a^2)$ Mar 29 awarded Notable Question Mar 25 comment Understanding that both $\lim_{y\to 0} \frac{y}{ln(y+1)}$ and $\lim_{y\to 0} \frac{\ln(y+1)}{y}$ is equal to $1$. Thank you @George it makes sense! Mar 25 comment Understanding that both $\lim_{y\to 0} \frac{y}{ln(y+1)}$ and $\lim_{y\to 0} \frac{\ln(y+1)}{y}$ is equal to $1$. Out of curiosity, I have not seen this operator before $\stackrel{*}{=}$, what does it mean? Mar 25 comment Understanding that both $\lim_{y\to 0} \frac{y}{ln(y+1)}$ and $\lim_{y\to 0} \frac{\ln(y+1)}{y}$ is equal to $1$. Thank you for your answer! Mar 25 accepted Understanding that both $\lim_{y\to 0} \frac{y}{ln(y+1)}$ and $\lim_{y\to 0} \frac{\ln(y+1)}{y}$ is equal to $1$. Mar 25 asked Understanding that both $\lim_{y\to 0} \frac{y}{ln(y+1)}$ and $\lim_{y\to 0} \frac{\ln(y+1)}{y}$ is equal to $1$. Mar 21 comment Calculate the limit of: $x_n = \frac{\ln(1+\sqrt{n}+\sqrt[3]{n})}{\ln(1 + \sqrt[3]{n} + \sqrt[4]{n})}$, $n \rightarrow \infty$ Thank you! this was a nice solution that makes sense.