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Numerade Educator

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Problem 7 Easy Difficulty

Differentiate.

$ g(x) = \frac {1 + 2x}{3 - 4x} $

Answer

$=\frac{10}{(3-4 x)^{2}}$

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Video Transcript

it's clear it's when you read here. So we're gonna find the derivative for two X plus one all over three minus for X. When we do this, we get D over D x two x plus one times three minus for X nine hours to X plus one D over DX three minus four X all over three minus four X square. Then when we simplify this foul, get two times one plus zero three minus four x minus zero minus four times one times two X plus one all over three minus four X square. And when we simplify this, we get four times two x plus one over three minus for X Square, plus two over three minus four x, but just equal to 10 over for X minus three squared.