calculus · worked example

Solve 3x² + 4x - 1

Method: sum rule + power rule. 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. Differentiate term-by-term using the sum rule.

  2. ddx(3x2)=6x\frac{d}{dx}(3x^2) = 6x (constant out, power rule).

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

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

  5. Combine: 6x+46x + 4.

Answer

6x+46x + 4

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