Explained: "Take the derivative of − 7 x 6..."

Blaine Stein

Answered question

2022-05-05

Take the derivative of

- 7 x^{6}

parentalite50bqd

Beginner2022-05-06Added 12 answers

Since $- 7$ is constant with respect to $x$ , the derivative of $- 7 x^{6}$ with respect to $x$ is $- 7 \frac{d}{d x} [x^{6}]$ .

$- 7 \frac{d}{d x} [x^{6}]$

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 6$ .

$- 7 (6 x^{5})$

Multiply $6$ by $- 7$ .

$- 42 x^{5}$

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