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Can someone help me with this?? Find the critical points

0 votes

for the function f(x)=((∣x∣)/(x^2+9))+9?

asked Oct 21, 2014 in PRECALCULUS by anonymous

1 Answer

0 votes

The function is

Differentiate with respect to x.

To find the critical numbers f'(x) = 0 and f'(x) does not exist.

image

image

image

image

image

The function does not exist when image.

image

image

The imaginary numbers are negligible, the critical numbers are x = 0, x = 3 and x = -3.

image

image

image

The critical points are image.

answered Oct 21, 2014 by casacop Expert
edited Oct 21, 2014 by casacop

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