Question

Derivada de Y=(x+Lnx)^5

Answer 1

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La derivada será

$y = (x + ln(x) )^{5} \\ \\ y' = 5 {(x + ln(x) )}^{4} \times (x + ln(x) )' \\ \\ y' = 5 {(x + ln(x) )}^{4} \times (x' + ln(x) ') \\ \\ y' = 5 {(x + ln(x) )}^{4} \times(1 + \frac{1}{x} ) \\ \\ y' = \frac{5 {(x + ln(x) }^{4} )(x + 1)}{x}$