Respuesta :


y' = limit 5/(x + h) - 5/x / h where h is a small increase in x


= 5x - 5x - 5h / xh(x + h)


= -5h / xh(x+ h)

= -5 / x^2 + hx


As h approaches zero hx approaches 0


so y' = limit of -5 (x^2 + hx) = -5 / x^2 (answer)

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