check my answer please?

[calculusclueless]

the derivative of: y=(e^tanx)^(1/4)*(4lnx-4^x)^x

[(e^tanx)^(1/4)*(4lnx-4^x)^x][(sec^2(x)/4)+[(4-4^x*ln4)/(4lnx-4^x)]+ln(4lnx-4^x)]

is this correct? thank you

 

[tkhunny]

I'm guessing your not all that close, since the last factor has 'x' in the exponent and in the base. Very ugly. The regular product rule is insufficinet, here. Well it works, but you can't eyeball it.

Also, this is ambiguous "4lnx-4^x" - Just exactly what is inteh logarithm argument and what isn't?

 

[calculusclueless]

its ln(x)-4^x

 

[tkhunny]

Excellent, now what's your plan for the rest of it?

 

[calculusclueless]

well first off i had to use logrythmic differentiation to make the equation

lny=(1/4)ln(e^tanx)+ xln(4ln(x)-4^x)

so far so good?

 

[tkhunny]

Very good. Now simplify the first term and let's see that derivative.