Solve using logarithmic diff.: y=((x^2+1)/(x^2-1))^(1/4)

[clw89]

Hey I need help with this problem:

Solve using logarithmic differentiation:
y=((x^2+1)/(x^2-1))^(1/4)

thanks!

 

[galactus]

Re: Help with logarithmic differentiation

Start by taking ln of both sides.

\(\displaystyle ln(y)=\frac{1}{4}ln(\frac{x^{2}+1}{x^{2}-1})\)

Now, differentiate both sides and solve for y':

 

[stapel]

Solve using logarithmic differentiation:
y=((x^2+1)/(x^2-1))^(1/4)

Do the instructions really say to "solve" this equation...? :shock:

("Use log differentiation to find dy/dx" would make sense, but "solve"...? "Solve" for what?)

Eliz.