calculus · worked example

Solve 2x + 3 = 2

Method: 加法法則 + 常數法則. 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. 使用 加法法則:逐項微分。

  2. ddx(2x)=2\frac{d}{dx}(2x) = 2(常數乘以 xx)。

  3. ddx(3)=0\frac{d}{dx}(3) = 0(任何常數的導數都是零)。

  4. 總計:2+0=22 + 0 = 2

  5. 幾何意義:直線 y=2x+3y = 2x + 3 的斜率處處為 22 — 導數證實了這一點。

Answer

22

Want to solve a different problem? Open the derivative solver →