"What is the derivative of − 5 x..." was answered by our experts

Jaime Coleman

Answered question

2022-04-04

What is the derivative of

- 5 x^{2}

Ayaan Gonzalez

Beginner2022-04-05Added 15 answers

Since $- 5$ is constant with respect to $x$ , the derivative of $- 5 x^{2}$ with respect to $x$ is $- 5 \frac{d}{d x} [x^{2}]$ .

$- 5 \frac{d}{d x} [x^{2}]$

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 2$ .

$- 5 (2 x)$

Multiply $2$ by $- 5$ .

$- 10 x$

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