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2nd derivative of (2x^2 -8) / (x^2 - 16) ?

I keep getting crazy answers and I just want to check with someone what is the correct derivative of :

(2x^2 -8) / (x^2 - 16)

THANKS. =]

1 Answer

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  • Anonymous
    1 decade ago
    Favorite Answer

    first derivative=

    (x^2 -16)(4x) - (2x^2 -8)(x) / (x^2 -16)^2 ....

    simplified = (2x^3 -72x) / (x^4 -32x^2 + 256)

    second derivative =

    (x^4 -32x^2 + 256)(6x^2 -72) - (2x^3 -72x)(4x^3 -64x) / (x^4 -32x^2 + 256)

    yep so that big huge answer is what i got. it can be simplifed some more if you feel like it :)

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