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人気のある微分積分 >

(\partial)/(\partial z)(e^{9xz})

解

\frac{\partial}{\partial z} (e^{9 x z})

解

e^{9 x z} \cdot 9 x

解答ステップ

\frac{\partial}{\partial z} (e^{9 x z})

x

を定数として扱う

連鎖法則を適用:

e^{9 x z} \frac{\partial}{\partial z} (9 x z)

= e^{9 x z} \frac{\partial}{\partial z} (9 x z)

\frac{\partial}{\partial z} (9 x z) = 9 x

= e^{9 x z} \cdot 9 x

人気の例

integral of 2sin(npix)

\int 2 sin (nπ x) d x

derivative of (x^2-x^{7/3}^4)

\frac{d}{d x} ((x^{2} - x^{\frac{7}{3}})^{4})

10y^'+5y=8e^{6x},y(0)=9

10 y^{^{'}} + 5 y = 8 e^{6 x}, y (0) = 9

limit as x approaches 3 of (|x|-x)/(3-x)

x \to 3 lim (\frac{∣ x ∣ - x}{3 - x})

y^{''}+(y^')^2+1=0

y^{^{''}} + (y^{^{'}})^{2} + 1 = 0