derivative of sqrt(4x+5)

解答

\frac{d}{d x} (4 x + 5)

\frac{2}{4 x + 5}

求解步骤

\frac{d}{d x} (4 x + 5)

使用连锁律:

\frac{1}{2 4 x + 5} \frac{d}{d x} (4 x + 5)

= \frac{1}{2 4 x + 5} \frac{d}{d x} (4 x + 5)

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

= \frac{1}{2 4 x + 5} \cdot 4

化简

\frac{1}{2 4 x + 5} \cdot 4 : \frac{2}{4 x + 5}

= \frac{2}{4 x + 5}

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