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

Textbook Question

Chapter 3, 3.6 - Problem 41 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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mathace | (Level 3) Assistant Educator

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Given: `y=sqrt((x-1)/(x^4+1))`

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




Take the derivative of both sides of the equations.



Substitute in for y using the original equation. The derivative is: 


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