derivative 50ln(2x+1)-x/2

解答

导数

50 ln (2 x + 1) - \frac{x}{2}

\frac{100}{2 x + 1} - \frac{1}{2}

求解步骤

\frac{d}{d x} (50 ln (2 x + 1) - \frac{x}{2})

使用微分加减法定则:

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

= \frac{d}{d x} (50 ln (2 x + 1)) - \frac{d}{d x} (\frac{x}{2})

\frac{d}{d x} (50 ln (2 x + 1)) = \frac{100}{2 x + 1}

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= \frac{100}{2 x + 1} - \frac{1}{2}

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