What is the derivative of 5x

April 1, 2026Mathematics

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Answer

5

3 steps

To find the derivative of $5x$ , we use the power rule for differentiation, which states that $\frac{d}{dx}(cx^n) = cnx^{n-1}$ .

Identify the constant and the variable term.
In $5x$ , the constant is 5 and the variable term is $x$ , which can be written as $x^1$ .
Apply the power rule.
$\frac{d}{dx}(5x^1) = 5 \cdot 1 \cdot x^{1-1}$ $\frac{d}{dx}(5x) = 5 \cdot x^0$
Simplify the expression.
Since $x^0 = 1$ for any non-zero $x$ :
$\frac{d}{dx}(5x) = 5 \cdot 1$ $\frac{d}{dx}(5x) = 5$
The derivative of $5x$ is $\boxed{5}$ .

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