calculus · worked example

Solve 3x² + 4x - 1 = 6x + 4

Method: 加法法則 + 冪函數微分法則. Verified step-by-step solution with our free AI math solver.
Problem

ddx(3x2+4x1)\frac{d}{dx}(3x^2 + 4x - 1)

Step-by-step solution

  1. 使用加法法則逐項微分。

  2. ddx(3x2)=6x\frac{d}{dx}(3x^2) = 6x(提出常數,使用冪函數微分法則)。

  3. ddx(4x)=4\frac{d}{dx}(4x) = 4

  4. ddx(1)=0\frac{d}{dx}(-1) = 0(常數)。

  5. 合併:6x+46x + 4

Answer

6x+46x + 4

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