`y = 2root(4)(9 - x^2)` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 15 - Calculus of a Single Variable (10th Edition, Ron Larson).
See all solutions for this textbook.

1 Answer | Add Yours

mathace's profile pic

mathace | (Level 3) Assistant Educator

Posted on

GivenĀ `y=2root(4)(9-x^2)`

Rewrite the function asĀ `y=2(9-x^2)^(1/4)`

Find the derivative using the Chain Rule.

`y'=(1/4)(2)(9-x^2)^(-3/4)(-2x)`

`y'=-1x(9-x^2)^(-3/4)`

`y'=-x/(9-x^2)^(3/4)`

`y'=-x/root(4)((9-x^2)^3)`

We’ve answered 318,913 questions. We can answer yours, too.

Ask a question