calculus · worked example

Solve 2x + 3 = 2

Method: regra da soma + regra da constante. Verified step-by-step solution with our free AI math solver.
Problem

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

Step-by-step solution

  1. Use a regra da soma: derive termo a termo.

  2. ddx(2x)=2\frac{d}{dx}(2x) = 2 (constante vezes xx).

  3. ddx(3)=0\frac{d}{dx}(3) = 0 (a derivada de qualquer constante é zero).

  4. Total: 2+0=22 + 0 = 2.

  5. Geometric meaning: the slope of the line y=2x+3y = 2x + 3 is 22 everywhere — derivative confirms this.

Answer

22

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