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f'(x) =
![frac{ - 1 times (2 + x) - 1 times (3 - x)}{ {( 2 + x)}^{2} } = frac{ - 2 - x - 3 + x}{ {(2 +x)}^{2} } = - frac{5}{ {(2 + x)}^{2} } frac{ - 1 times (2 + x) - 1 times (3 - x)}{ {( 2 + x)}^{2} } = frac{ - 2 - x - 3 + x}{ {(2 +x)}^{2} } = - frac{5}{ {(2 + x)}^{2} }](https://tex.z-dn.net/?f=+frac%7B+-+1+times+%282+%2B+x%29+-+1+times+%283+-+x%29%7D%7B+%7B%28+2+%2B+x%29%7D%5E%7B2%7D+%7D++%3D++frac%7B+-+2+-+x+-+3+%2B+x%7D%7B+%7B%282+%2Bx%29%7D%5E%7B2%7D+%7D++%3D+++-++frac%7B5%7D%7B+%7B%282+%2B+x%29%7D%5E%7B2%7D+%7D++)
f'(x0) = f'(3) =
![frac{ - 5}{ {(2 + 3)}^{2} } = frac{ - 5}{25} = - frac{1}{5} frac{ - 5}{ {(2 + 3)}^{2} } = frac{ - 5}{25} = - frac{1}{5}](https://tex.z-dn.net/?f=+frac%7B+-+5%7D%7B+%7B%282+%2B+3%29%7D%5E%7B2%7D+%7D++%3D++frac%7B+-+5%7D%7B25%7D++%3D++-++frac%7B1%7D%7B5%7D+)
f'(x0) = f'(3) =
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