derivative of 3+(2/(m(x+2)))

解答

\frac{d}{d x} (3 + (\frac{2}{m ( x + 2 )}))

- \frac{2}{m ( x + 2 ) ^{2}}

求解步骤

\frac{d}{d x} (3 + (\frac{2}{m ( x + 2 )}))

使用微分加减法定则:

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

= \frac{d}{d x} (3) + \frac{d}{d x} (\frac{2}{m ( x + 2 )})

\frac{d}{d x} (3) = 0

\frac{d}{d x} (\frac{2}{m ( x + 2 )}) = - \frac{2}{m ( x + 2 ) ^{2}}

= 0 - \frac{2}{m ( x + 2 ) ^{2}}

化简

= - \frac{2}{m ( x + 2 ) ^{2}}

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