Find the interval(s) on which $f(x) = x - \log x$ is strictly decreasing for $x > 0$ .

(1, \infty)

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(0, 1)

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(0, 2)

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(-\infty, 0)

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Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

$(1, \infty)$ is where the derivative has the opposite sign.

Ten questions from Increasing & Decreasing Functions, at your own pace.

Ten questions from Increasing & Decreasing Functions, at your own pace.

Find the interval(s) on which f(x)=x−log⁡xf(x) = x - \log xf(x)=x−logx is strictly decreasing for x>0x > 0x>0.