Solve 2x + 3

Problem

$\frac{d}{dx}(2x + 3)$

Step-by-step solution

Use the sum rule: differentiate term by term.
$\frac{d}{dx}(2x) = 2$ (constant times $x$ ).
$\frac{d}{dx}(3) = 0$ (derivative of any constant is zero).
Total: $2 + 0 = 2$ .
Geometric meaning: the slope of the line $y = 2x + 3$ is $2$ everywhere — derivative confirms this.

Answer

$2$

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