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Mathematics 16 Online
OpenStudy (dls):

dy/dx answer check!

OpenStudy (dls):

y=log(logx)+2^sinx

OpenStudy (dls):

\[\log(logx)=> \frac{1}{logx} \times \frac{1}{x} = \frac{1}{xlogx} \]

OpenStudy (dls):

\[\LARGE u=2^{sinx}\]..retriception

OpenStudy (dls):

wtf assumption*

OpenStudy (dls):

\[\frac{1}{u} \times \frac{du}{dx} = \log2cosx\]

hartnn (hartnn):

1/(x log x) is correct.

OpenStudy (dls):

\[\frac{du}{dx}=2^{sinx} \times \log2cosx\]

hartnn (hartnn):

whats the derivative of a^x ?

OpenStudy (dls):

then combine o.o

OpenStudy (dls):

where is a?

OpenStudy (dls):

if a is a constant then should be 0 otherwise xloga

hartnn (hartnn):

a^x log a

OpenStudy (dls):

\[\LARGE logu=sinxlog2\]

hartnn (hartnn):

so, for 2^sin x it will be 2^sin x log 2 d/dx(sin x) chain rule. no need of log. diff.

OpenStudy (dls):

why cant we do log diff

hartnn (hartnn):

with log diff, u get the same answer actually.

OpenStudy (dls):

exactly

OpenStudy (dls):

WFA certified

hartnn (hartnn):

i never said, you cannot do, i said its not required.

OpenStudy (dls):

so its not incorrect either right?

hartnn (hartnn):

its not incorrect...just a longer way

OpenStudy (dls):

i didnt understand what u did without log one^

hartnn (hartnn):

then do log :P

OpenStudy (dls):

yeah better o.o thanks :D

hartnn (hartnn):

and get the same answer

OpenStudy (dls):

okay :o IM STARTING TO LOVE THAT METHOD SINCE YESTERDAY <3

hartnn (hartnn):

lol....nice..thats what practice odes to any1..

hartnn (hartnn):

*does

OpenStudy (dls):

:D

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