Mathematics
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OpenStudy (dls):
dy/dx
answer check!
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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):
\[\frac{1}{u} \times \frac{du}{dx} = \log2cosx\]
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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?
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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
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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?
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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
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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