derivative e^{z/(z-6)}

解答

导数

e^{\frac{z}{z - 6}}

- \frac{6 e ^{\frac{z}{z - 6}}}{( z - 6 ) ^{2}}

求解步骤

\frac{d}{d z} (e^{\frac{z}{z - 6}})

使用连锁律:

e^{\frac{z}{z - 6}} \frac{d}{d z} (\frac{z}{z - 6})

= e^{\frac{z}{z - 6}} \frac{d}{d z} (\frac{z}{z - 6})

\frac{d}{d z} (\frac{z}{z - 6}) = - \frac{6}{( z - 6 ) ^{2}}

= e^{\frac{z}{z - 6}} (- \frac{6}{( z - 6 ) ^{2}})

化简

e^{\frac{z}{z - 6}} (- \frac{6}{( z - 6 ) ^{2}}) : - \frac{6 e ^{\frac{z}{z - 6}}}{( z - 6 ) ^{2}}

= - \frac{6 e ^{\frac{z}{z - 6}}}{( z - 6 ) ^{2}}

\int \frac{16 s - 4}{3 - 2 s + 4 s ^{2}} d s

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d er i v a t i v e f (x) = e^{r} + r^{e}

\int \frac{3 x}{x ^{2}} d x

f^{^{'}} (x) = 3 sec (x)