`y = sqrt((x-1)/(x^4 + 1))` Use logarithmic differentiation to find the derivative of the function.

Thursday, August 7, 2008

mathace

Given: $\displaystyle{y}=\sqrt{{\frac{{{x}-{1}}}{{{{x}}^{{4}}+{1}}}}}$

Take the logarithm of both sides of
the equation. Then rewrite the equation using the Laws of Logarithms.

$\displaystyle{\ln{{y}}}={\ln{\sqrt{{\frac{{{x}-{1}}}{{{{x}}^{{4}}+{1}}}}}}}$

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