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Chain Rule, Log Differentiation & Rate of Change · Question 83 of 130

What is the slope of y = x^x at x = 1?

Question 83

EasyOriginal question

Let $y = x^{x}$ for $x > 0$ .

What is the slope of $y = x^{x}$ at $x = 1$ ?

0

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1

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2

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e

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Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

$1^{1}(1 + \log 1) = 1 \times 1$ .
1.

Worth noting

0 keeps $\log 1 = 0$ and forgets the 1 beside it.

Concept: Logarithmic differentiation at a point
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsLogarithmic differentiation

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