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Numerade Educator

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Problem 8 Easy Difficulty

Differentiate.

$ G(x) = \frac {x^2 - 2}{2x + 1} $

Answer

$\frac{2\left(x^{2}+x+2\right)}{(2 x+1)^{2}}$

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Video Transcript

he is clear, so inhumane here. So we have G of X is equal to X square minus two over two x plus one. We're gonna differentiate using the quotient rule when we get to X plus one D over D X X square minus two minus X square minus two D over T x two X plus one all over two X plus one square. This is equal to four x square plus two x minus two X square plus four all over two X plus one square just becomes equal to two x square plus two x plus four all over two x plus one square, and you could factor up the two, which becomes X square plus X plus two all over two x plus one square.