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

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mathace eNotes educator| Certified Educator

Given `y=2root(4)(9-x^2)`

Rewrite the function as `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)`

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