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1) Write x^x=e^ (ln (x^x))=e^ (x.ln (x)), using the properties of the exponential and logarithmic functions. 2) Now, d/dx (x.ln (x))=ln (x)+1 by the product rule. Hence, d/dx (e^ (x.ln (x)))= (ln …
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19 thg 6, 2020 · One part of a problem requires me to find following sum $\ x+x^2+x^3+...+x^n\ $ and solution suggests that after first step given sum equals to $ \left (x \frac {1-x^n} {1-x} \right) …
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You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation and how do I get …
26 thg 8, 2014 · I mean, how to solve $e^x=x$ in the complex plane? Is there a solution? I know there is no real solution to this because apparently, $y=x$ and y=$e^x$ have no ...
29 thg 11, 2015 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …
13 thg 3, 2018 · My question is: Show that $\lim_ {x \rightarrow c} \frac {x^c-c^x} {x^x-c^c}$ exists and find its value. Because the limit is 0/0 I've tried using L'Hopital's rule, but every time I …
I am a 12th grade student, and I am afraid that in realistic terms this question might not even make sense because of the infinities that have to be dealt with. However, in my attempt to …
I made up some integrals to do for fun, and I had a real problem with this one. I've since found out that there's no solution in terms of elementary functions, but when I attempt to integrate it, I...
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