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DyHKHHH y=x^5 paBeH: Bbl6epuTe OnuH OTBeT: a. 5x^4dx b. x^5Delta x c. 5x d. 5x^4

Вопрос

DyHKHHH y=x^5 paBeH:
Bbl6epuTe OnuH OTBeT:
a. 5x^4dx
b. x^5Delta x
c. 5x
d. 5x^4

DyHKHHH y=x^5 paBeH: Bbl6epuTe OnuH OTBeT: a. 5x^4dx b. x^5Delta x c. 5x d. 5x^4

Решения

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ветеран · Репетитор 11 лет

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To find the derivative of the function $y = x^5$, we can use the power rule for differentiation. The power rule states that if $y = x^n$, then the derivative of $y$ with respect to $x$ is $y' = nx^{n-1}$.<br /><br />Applying the power rule to the given function $y = x^5$, we have:<br /><br />$y' = 5x^{5-1} = 5x^4$<br /><br />Therefore, the correct answer is option d: $5x^4$.
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