Find f'(x) if f(x) = (x-2)/(2x-3)

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justaguide eNotes educator | Certified Educator

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We have f(x) = ( x - 2)/ ( 2x - 3)

=> f(x) = (x - 2) * ( 2x - 3)^-1

We use the product rule which states that if h(x) = f(x)*g(x)

=> h'(x) = f(x)*g'(x) + f'(x)*g(x)

f(x) = (x - 2) * ( 2x - 3)^-1

=> f'(x) = [(x - 2)]' * ( 2x - 3)^-1 + (x - 2) * [(...

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