Find the Derivative f(x)=5-2x

$f (x) = 5 - 2 x$

Differentiate.

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By the Sum Rule, the derivative of $5 - 2 x$ with respect to $x$ is $\frac{d}{d x} [5] + \frac{d}{d x} [- 2 x]$ .

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

Since $5$ is constant with respect to $x$ , the derivative of $5$ with respect to $x$ is $0$ .

$0 + \frac{d}{d x} [- 2 x]$

Evaluate $\frac{d}{d x} [- 2 x]$ .

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

$0 - 2 \frac{d}{d x} [x]$

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

$0 - 2 \cdot 1$

Multiply $- 2$ by $1$ .

$0 - 2$

Subtract $2$ from $0$ .

$- 2$

Find the Derivative f(x)=5-2x

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