I think I have it, please check

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SUMMARY

The discussion centers on the function f(x)=(2x-5)/(x^2-4) and its derivative, which is calculated as (-2x^2+10x-8)/(x^2-4)^2. The user successfully determined the tangent line at the point (0, f(0)), resulting in the equation y=-0.5x+5/4. Confirmation from other participants indicates that the calculations and methods used are correct, validating the user's approach and results.

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ashleyk
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Let f(x) be the function f(x)=(2x-5)/(x^2-4)

I found the derivative to be (-2x^2+10x-8)/(x^2-4)^2

I then had to find the tangent at point (0, f(0)) to be y=-.5x+5/4

Im not sure if it is right from the graph i made on my calculator. Any help would be great!
 
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It's correct.
 
ashleyk said:
Let f(x) be the function f(x)=(2x-5)/(x^2-4)
I found the derivative to be (-2x^2+10x-8)/(x^2-4)^2
I then had to find the tangent at point (0, f(0)) to be y=-.5x+5/4
Im not sure if it is right from the graph i made on my calculator. Any help would be great!

Yes,all the calculations are good.So,apparently,u have used a correct method,else u would have reached an incorrect result.

Keep up the good work!

Daniel.
 

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