Hai… my problem is i dont know how to solve this question because I confuse to use any method











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$e^{n+y}=1+5sqrt{y^2}-lnleft[frac{y^5(6n^2+1)}{sqrt{2n^3-4}}right]$



Find $frac{dy}{dn}$ when $n=0$ and $y=1$.



How can I approach this problem?



(original link: https://i.stack.imgur.com/W9Mym.jpg)










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    Something there looks like $;n;$ , something else like $;x;$ (with some imagination), something like $;ln;$ ...or maybe $;in;$ ...Try to type your question, please.
    – DonAntonio
    Nov 16 at 16:54












  • Hi, and welcome to Math.SE. Please use Math Jax to type your questions, in order to make the mathematical text comprehensible to all members.
    – Daniele Tampieri
    Nov 16 at 17:01















up vote
-3
down vote

favorite












$e^{n+y}=1+5sqrt{y^2}-lnleft[frac{y^5(6n^2+1)}{sqrt{2n^3-4}}right]$



Find $frac{dy}{dn}$ when $n=0$ and $y=1$.



How can I approach this problem?



(original link: https://i.stack.imgur.com/W9Mym.jpg)










share|cite|improve this question




















  • 2




    Something there looks like $;n;$ , something else like $;x;$ (with some imagination), something like $;ln;$ ...or maybe $;in;$ ...Try to type your question, please.
    – DonAntonio
    Nov 16 at 16:54












  • Hi, and welcome to Math.SE. Please use Math Jax to type your questions, in order to make the mathematical text comprehensible to all members.
    – Daniele Tampieri
    Nov 16 at 17:01













up vote
-3
down vote

favorite









up vote
-3
down vote

favorite











$e^{n+y}=1+5sqrt{y^2}-lnleft[frac{y^5(6n^2+1)}{sqrt{2n^3-4}}right]$



Find $frac{dy}{dn}$ when $n=0$ and $y=1$.



How can I approach this problem?



(original link: https://i.stack.imgur.com/W9Mym.jpg)










share|cite|improve this question















$e^{n+y}=1+5sqrt{y^2}-lnleft[frac{y^5(6n^2+1)}{sqrt{2n^3-4}}right]$



Find $frac{dy}{dn}$ when $n=0$ and $y=1$.



How can I approach this problem?



(original link: https://i.stack.imgur.com/W9Mym.jpg)







differential-equations implicit-differentiation






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edited Nov 16 at 17:06









Nathaniel D. Hoffman

357




357










asked Nov 16 at 16:51









Farhan Fadzlie

4




4








  • 2




    Something there looks like $;n;$ , something else like $;x;$ (with some imagination), something like $;ln;$ ...or maybe $;in;$ ...Try to type your question, please.
    – DonAntonio
    Nov 16 at 16:54












  • Hi, and welcome to Math.SE. Please use Math Jax to type your questions, in order to make the mathematical text comprehensible to all members.
    – Daniele Tampieri
    Nov 16 at 17:01














  • 2




    Something there looks like $;n;$ , something else like $;x;$ (with some imagination), something like $;ln;$ ...or maybe $;in;$ ...Try to type your question, please.
    – DonAntonio
    Nov 16 at 16:54












  • Hi, and welcome to Math.SE. Please use Math Jax to type your questions, in order to make the mathematical text comprehensible to all members.
    – Daniele Tampieri
    Nov 16 at 17:01








2




2




Something there looks like $;n;$ , something else like $;x;$ (with some imagination), something like $;ln;$ ...or maybe $;in;$ ...Try to type your question, please.
– DonAntonio
Nov 16 at 16:54






Something there looks like $;n;$ , something else like $;x;$ (with some imagination), something like $;ln;$ ...or maybe $;in;$ ...Try to type your question, please.
– DonAntonio
Nov 16 at 16:54














Hi, and welcome to Math.SE. Please use Math Jax to type your questions, in order to make the mathematical text comprehensible to all members.
– Daniele Tampieri
Nov 16 at 17:01




Hi, and welcome to Math.SE. Please use Math Jax to type your questions, in order to make the mathematical text comprehensible to all members.
– Daniele Tampieri
Nov 16 at 17:01










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When $n=0$ and $y=1$, the equation reads: $e = 1+5-lnleft[-frac{1}{2imath}right]$, so $e$ has been equated to a complex number (in fact there are no solutions for this equation on the $n=0$ line). If you meant to write "$imath n$" instead of $ln$, then the equation still reads $e=6$. Please clarify your question, and I will edit my answer accordingly.






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    1 Answer
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    1 Answer
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    When $n=0$ and $y=1$, the equation reads: $e = 1+5-lnleft[-frac{1}{2imath}right]$, so $e$ has been equated to a complex number (in fact there are no solutions for this equation on the $n=0$ line). If you meant to write "$imath n$" instead of $ln$, then the equation still reads $e=6$. Please clarify your question, and I will edit my answer accordingly.






    share|cite|improve this answer

























      up vote
      0
      down vote













      When $n=0$ and $y=1$, the equation reads: $e = 1+5-lnleft[-frac{1}{2imath}right]$, so $e$ has been equated to a complex number (in fact there are no solutions for this equation on the $n=0$ line). If you meant to write "$imath n$" instead of $ln$, then the equation still reads $e=6$. Please clarify your question, and I will edit my answer accordingly.






      share|cite|improve this answer























        up vote
        0
        down vote










        up vote
        0
        down vote









        When $n=0$ and $y=1$, the equation reads: $e = 1+5-lnleft[-frac{1}{2imath}right]$, so $e$ has been equated to a complex number (in fact there are no solutions for this equation on the $n=0$ line). If you meant to write "$imath n$" instead of $ln$, then the equation still reads $e=6$. Please clarify your question, and I will edit my answer accordingly.






        share|cite|improve this answer












        When $n=0$ and $y=1$, the equation reads: $e = 1+5-lnleft[-frac{1}{2imath}right]$, so $e$ has been equated to a complex number (in fact there are no solutions for this equation on the $n=0$ line). If you meant to write "$imath n$" instead of $ln$, then the equation still reads $e=6$. Please clarify your question, and I will edit my answer accordingly.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 16 at 17:12









        Nathaniel D. Hoffman

        357




        357






























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