Quick question: Graph sketching (1 Viewer)

[bawd]

y = (x - 1) / (x^2 - 9)

Could someone please explain how to find the stationary points/inflexion pts and asymptotes of this question? When I try to differentiate it to get the stationary points, I get a weird equation I can't seem to solve.

Thanks.

 

[Timothy.Siu]

do as x--->0 for asymptote and also x=/= +-3
and just differentiate it using quotient rule

 

[kaz1]

y = (x - 1) / (x^2 - 9)

Could someone please explain how to find the stationary points/inflexion pts and asymptotes of this question? When I try to differentiate it to get the stationary points, I get a weird equation I can't seem to solve.

Thanks.

It might not have stationary points.

 

[bored of sc]

y = (x - 1) / (x^2 - 9)

Could someone please explain how to find the stationary points/inflexion pts and asymptotes of this question? When I try to differentiate it to get the stationary points, I get a weird equation I can't seem to solve.

Thanks.

Stationary points are when dy/dx = 0.
Points of inflexion are when d²y/dx² = 0.
Asymptotes are when denominator = 0.