derivative of 3x^2+4x+5

解答

\frac{d}{d x} (3 x^{2} + 4 x + 5)

6 x + 4

求解步骤

\frac{d}{d x} (3 x^{2} + 4 x + 5)

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (4 x) + \frac{d}{d x} (5)

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (5) = 0

= 6 x + 4 + 0

化简

= 6 x + 4

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