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Numerade Educator

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Problem 46 Easy Difficulty

If $ h(2) = 4 $ and $ h'(2) = - 3, $ find

$ \frac {d}{dx} \left( \frac {h(x)}{x} \right) \mid x = 2 $

Answer

$-5 / 2$

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Video Transcript

it's Claire's. So when you read here so if you're gonna use a closure, we have D over DX. Each of nuts over x X is equal to this is equal to the derivative of H times X minus H of X times one all over X Square for X is equal to two in their h, the derivative of two times two minus age of two times one all over two square, just equal to negative. Three times two minus four times one. We're just plugging in the values that we got, then we get negative £5.