What is d/dx(tan^-1(3 x ))?

Chain Rule, Log Differentiation & Rate of Change · Question 32 of 130

Question 32

EasyOriginal question

What is $\frac{d}{dx}\left(\tan^{-1}{\left(3 x \right)}\right)$ ?

\frac{3}{9 x^{2} + 1}

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\frac{1}{9 x^{2} + 1}

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\frac{3}{3 x^{2} + 1}

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\frac{3}{x^{2} + 1}

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Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

$\frac{3}{1 + 3x^{2}}$ forgets to square the 3 along with $x$ .

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.