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  • 0 posts edited
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  • 192 votes cast
Jul
23
asked Fundamental Theorem of Calculus and the left endpoint of the interval.
Jul
9
accepted A negative third derivative implies a positive first derivative at a point.
Jun
30
awarded  Custodian
Jun
30
reviewed Reviewed Exchanging expectation and limits
Jun
30
reviewed Reviewed Markov Chains - Strong Markov Property
Jun
30
comment A negative third derivative implies a positive first derivative at a point.
@Tryss Well I haven't learned about integration yet, so I don't know what the last part tells me :P
Jun
30
comment A negative third derivative implies a positive first derivative at a point.
@MattSamuel I wrote the last derivative using Lagrange's remainder, which is why it's $c$ instead of $x$. Added clarification. Is it wrong?
Jun
30
revised A negative third derivative implies a positive first derivative at a point.
added 47 characters in body
Jun
30
comment A negative third derivative implies a positive first derivative at a point.
@HagenvonEitzen Why must $f'$ average around 0?
Jun
30
asked A negative third derivative implies a positive first derivative at a point.
Jun
29
comment Calculating $\lim_{x\to\infty} (\sin\frac{1}{x}+\cos\frac{1}{x})^x$ without l'Hopital
@anomaly I agree, but I'm preparing for a test, and the instructions say "without l'Hopital's rule"
Jun
29
asked Calculating $\lim_{x\to\infty} (\sin\frac{1}{x}+\cos\frac{1}{x})^x$ without l'Hopital
Jun
29
comment Proving that $\ln ^3|x|=x$ has exactly 3 real solutions
@NikolajK Correct me if I'm wrong, but I am supposed to accept an answer once I understood the solution to my question, am I not? I really wouldn't mind leaving questions open for longer but it does seem like I'm supposed to accept it when I solved it to prevent people putting in effort for nothing instead of answering still open questions.
Jun
29
comment Proving that $\ln ^3|x|=x$ has exactly 3 real solutions
That is exactly what I got to at the end, but thanks for the confirmation :)
Jun
29
accepted Proving that $\ln ^3|x|=x$ has exactly 3 real solutions
Jun
29
comment Proving that $\ln ^3|x|=x$ has exactly 3 real solutions
Actually just the fact that the function must be negative on $(0,1)$ is the obvious thing I was missing ><. Thank you
Jun
29
comment Proving that $\ln ^3|x|=x$ has exactly 3 real solutions
@ClementC. I actually tried that, from the second derivative I found out the minimum and maximum of $f'$ Now I could go to a third derivative as it is already pretty simple, but it's so far I have no idea how to use it in my original problem
Jun
29
asked Proving that $\ln ^3|x|=x$ has exactly 3 real solutions
Jun
17
comment For any closed set $A$ of $\mathbb R$ , does there exists a function $f:\mathbb R \to \mathbb R$ such that, $f$ is discontinuous exactly on $A$?
That what happens when I don't think... Removed
Jun
17
revised For any closed set $A$ of $\mathbb R$ , does there exists a function $f:\mathbb R \to \mathbb R$ such that, $f$ is discontinuous exactly on $A$?
deleted 258 characters in body