"Find the derivative of 3 x 5 ." was answered by students like you

Justine Webster

Answered question

2022-05-07

Find the derivative of

3 x^{5}

Darion Sexton

Beginner2022-05-08Added 14 answers

Since $3$ is constant with respect to $x$ , the derivative of $3 x^{5}$ with respect to $x$ is $3 \frac{d}{d x} [x^{5}]$ .

$3 \frac{d}{d x} [x^{5}]$

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 5$ .

$3 (5 x^{4})$

Multiply $5$ by $3$ .

$15 x^{4}$

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