find the derivative of f(x) =2x+3/x-2
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Step-by-step explanation:
f(x) = (2x+ 3)/(x - 2)
f'(x) = [(x-2)(2) - (2x+3)*1] / (x-2)²
[ f'(u/v) = [v du - u dv] / v² quotient rule ]
=> [2x - 4 - 2x - 3] / (x-2)²
=> -7/(x-2)²
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