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- Oct 16th 2007, 08:47 PM #1

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## Help please!!

The problem is differentiate x^2+1/x

Find the following:

1.)Intercepts

*2.)Asymptotes*

*3.)Symmetry*

*4.)Domain*

*5.)Increasing/decreasing behavior*

*6.)Relative extrema*

*7.)Concavity*

*8.)Inflection Points*

What i have so far

no intercepts

V.A(vertical asymptote) at x=0

H.A none

S.A y=x

symmetry at origin

increasing (-infinity,-1)

relative max (-1,-2)

relative min (1,2)

- Oct 16th 2007, 09:02 PM #2

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- Oct 17th 2007, 05:09 AM #3

- Oct 17th 2007, 07:02 AM #4

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Hello, Tskate!

. ← Is this what you meant?

Find the following:

1) Intercepts

. . . . . no x-intercepts

-intercepts: let

. . But is undefined . . . no y-intercept

2) Asymptotes

Horizontal asymptote: . None

Slant asymptote: .

3) Symmetry

4) Domain

5) Increasing/decreasing behavior

Increasing: .

Decreasing: .

6) Relative extrema

Second derivative: .

At concave up . . . minimum at (1,2)

At concave down . . . maximum at (-1,-2)

7) Concavity

Concave down where

8) Inflection Points

Inflection point occur where

. . But: . has no solutions . . . There are no inflection points.

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