Question #47145

Findf(x)=x^27

27x^26
x^26
26x^27
27x

Expert's answer

Answer on Question #47145 – Math – Differential Calculus | Equations

Question:

Find f(x)=x27f'(x) = x^27

27x^26

x^26

26x^27

27x

Solution:

Apply the power rule:


(xa)=axa1(x^a)' = ax^{a-1}


Therefore


f(x)=(x27)=27x271=27x26f'(x) = (x^{27})' = 27x^{27-1} = 27x^{26}


Answer: 27x2627x^{26}

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