What is d/dx(tan 2x)?

Derivatives & Second-Order Derivatives · Question 20 of 96

Question 20

MediumOriginal question

What is $\frac{d}{dx}\left(\tan 2x\right)$ ?

\sec^{2} 2x

Correct answerYour answer

2 \sec^{2} 2x

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- 2 \sec^{2} 2x

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4 \sec^{2} 2x

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Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Use the chain rule: differentiate the outer function, then multiply by the derivative of what is inside it.
$\frac{d}{dx}\left(\tan 2x\right) = 2 \sec^{2} 2x$ .

Worth noting

$\sec^{2} 2x$ differentiates the outside only and drops the inside's derivative.

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.