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calyne
Group Title
Use logarithmic differentiation to find the derivative of the function y = (cosx)^x
 2 years ago
 2 years ago
calyne Group Title
Use logarithmic differentiation to find the derivative of the function y = (cosx)^x
 2 years ago
 2 years ago

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mf1021 Group TitleBest ResponseYou've already chosen the best response.3
take the log both sides. lny=xln(cosx)
 2 years ago

mf1021 Group TitleBest ResponseYou've already chosen the best response.3
and take derivative both sides
 2 years ago

mf1021 Group TitleBest ResponseYou've already chosen the best response.3
y prime/y= (ln(cosx))+x(1/cosx)(sinx) and isolate y prime and you are done
 2 years ago

robtobey Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits \text{Cos}[x]^x (\text{Log}[\text{Cos}[x]]x \text{Tan}[x])dx = \text{Cos}[x]^x \]
 2 years ago

Ayesha1603 Group TitleBest ResponseYou've already chosen the best response.0
put ln on both sides to get \[\ln y =x \ln cosx\] then differentiate to get \[1/y =1\times sinx\]
 2 years ago

Sarkar Group TitleBest ResponseYou've already chosen the best response.0
also you can use formula for logarithmic differentiation... d/dx(u^v)=u^v*d/dx(v*log u )
 2 years ago
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