derivative y=(4x-5)2

解答

导数

y = (4 x - 5) 2

8

求解步骤

\frac{d}{d x} ((4 x - 5) \cdot 2)

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (4 x - 5)

使用微分加减法定则:

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

= 2 (\frac{d}{d x} (4 x) - \frac{d}{d x} (5))

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

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

= 2 (4 - 0)

化简

= 8

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