`y = x/(sqrt(x^2 + 1))` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 27 - Calculus of a Single Variable (10th Edition, Ron Larson).
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mathace | (Level 3) Assistant Educator

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Given `y=x/sqrt(x^2+1)`

Rewrite the function as `y=x(x^2+1)^(-1/2)`

Find the derivative using the Product Rule and Chain Rule.




` ` `y'=(2x^2-x+2)/[2(x^2+1)^(3/2)]`


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