# calculus

posted by marissa

what are the inflection points of 5x^2-45/x^2-25

1. Damon

what is the numerator and what is the denominator?

2. Steve

assuming the usual sloppiness, we have

y=(5x^2-45)/(x^2-25)
y'= -160x/(x^2-25)^2
y" = 160(3x^2+25)/(x^2-25)^3

since y" is never zero, there are no inflection points, as can be confirmed here:

http://www.wolframalpha.com/input/?i=%285x^2-45%29%2F%28x^2-25%29

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