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Question Number 83131 by 09658867628 last updated on 28/Feb/20

y=x^(4ln x)

$${y}=\boldsymbol{{x}}^{\mathrm{4ln}\:\boldsymbol{{x}}} \\ $$

Commented by mr W last updated on 28/Feb/20

dear sir:  please stop posting the same questions  more times! if it occurs by mistake,  you can delete the posts which are  too much    besides please make clear what you  request with your questions!

$${dear}\:{sir}: \\ $$$${please}\:{stop}\:{posting}\:{the}\:{same}\:{questions} \\ $$$${more}\:{times}!\:{if}\:{it}\:{occurs}\:{by}\:{mistake}, \\ $$$${you}\:{can}\:{delete}\:{the}\:{posts}\:{which}\:{are} \\ $$$${too}\:{much} \\ $$$$ \\ $$$${besides}\:{please}\:{make}\:{clear}\:{what}\:{you} \\ $$$${request}\:{with}\:{your}\:{questions}! \\ $$

Commented by mr W last updated on 28/Feb/20

sir:  you are still posting a lot of “questions”  without telling what your question  is. this is boring and also  respectless  to other users. can you please refrain  this? thank you!

$${sir}: \\ $$$${you}\:{are}\:{still}\:{posting}\:{a}\:{lot}\:{of}\:``{questions}'' \\ $$$${without}\:{telling}\:{what}\:{your}\:{question} \\ $$$${is}.\:{this}\:{is}\:{boring}\:{and}\:{also}\:\:{respectless} \\ $$$${to}\:{other}\:{users}.\:{can}\:{you}\:{please}\:{refrain} \\ $$$${this}?\:{thank}\:{you}! \\ $$

Commented by 20092104 last updated on 04/Mar/20

y=x^(4ln x)   ln y=4ln xln x  ln y=4(ln x)^2   ((y′)/y)=4∙2ln x∙(1/x)  y′=x^(4ln x) ((8ln x)/x)

$${y}={x}^{\mathrm{4ln}\:{x}} \\ $$$$\mathrm{ln}\:{y}=\mathrm{4ln}\:{x}\mathrm{ln}\:{x} \\ $$$$\mathrm{ln}\:{y}=\mathrm{4}\left(\mathrm{ln}\:{x}\right)^{\mathrm{2}} \\ $$$$\frac{{y}'}{{y}}=\mathrm{4}\centerdot\mathrm{2ln}\:{x}\centerdot\frac{\mathrm{1}}{{x}} \\ $$$${y}'={x}^{\mathrm{4ln}\:{x}} \frac{\mathrm{8ln}\:{x}}{{x}} \\ $$

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