- #1
projection
- 48
- 0
i need some help understanding the following:
[tex]y=\frac{\sqrt{x}}{2^x}[/tex]
[tex]y=lnx^{{lnx}^{{lnx}^{{lnx}^{{lnx}}}}}[/tex]
i have some idea how to do the first one. i think it goes like this:
[tex]y=\frac{\sqrt{x}}{2^x}[/tex]
[tex]ln y=ln (2^x)-ln(\sqrt{x})[/tex]
[tex]\frac{1}{y}y'=xln (2)-\frac{1}{2}ln(x)[/tex]
[tex]y'=\frac{\sqrt{x}}{2^x}[xln (2)-\frac{1}{2}ln(x)][/tex]
am i on the right track? or should i be doing something else?
[tex]y=\frac{\sqrt{x}}{2^x}[/tex]
[tex]y=lnx^{{lnx}^{{lnx}^{{lnx}^{{lnx}}}}}[/tex]
i have some idea how to do the first one. i think it goes like this:
[tex]y=\frac{\sqrt{x}}{2^x}[/tex]
[tex]ln y=ln (2^x)-ln(\sqrt{x})[/tex]
[tex]\frac{1}{y}y'=xln (2)-\frac{1}{2}ln(x)[/tex]
[tex]y'=\frac{\sqrt{x}}{2^x}[xln (2)-\frac{1}{2}ln(x)][/tex]
am i on the right track? or should i be doing something else?