What is d/dx((3 x + 2)^5)?

Derivatives & Second-Order Derivatives · Question 1 of 96

Question 1

EasyOriginal question

What is $\frac{d}{dx}\left(\left(3 x + 2\right)^{5}\right)$ ?

5 \left(3 x + 2\right)^{4}

Correct answerYour answer

15 \left(3 x + 2\right)^{4}

Correct answerYour answer

- 15 \left(3 x + 2\right)^{4}

Correct answerYour answer

30 \left(3 x + 2\right)^{4}

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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.
$\frac{d}{dx}\left(\left(3 x + 2\right)^{5}\right) = 15 \left(3 x + 2\right)^{4}$ .

Worth noting

$5 \left(3 x + 2\right)^{4}$ 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.