If f(x) = x^x, what is f'(e)?

Chain Rule, Log Differentiation & Rate of Change · Question 98 of 130

Question 98

HardOriginal question

If $f(x) = x^{x}$ , what is $f'\left(e\right)$ ?

2 e

Correct answerYour answer

e^{e}

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2 e^{e}

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e^{1 + e}

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

$e^{e}$ is $f(e)$ itself; the slope adds the factor $1 + \log e = 2$ .

Ten questions from Chain Rule, Log Differentiation & Rate of Change, at your own pace.

Ten questions from Chain Rule, Log Differentiation & Rate of Change, at your own pace.