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人気のある微分積分 >

(\partial)/(\partial x)(ln(x)-2)

解

\frac{\partial}{\partial x} (ln (x) - 2)

解

\frac{1}{x}

解答ステップ

\frac{\partial}{\partial x} (ln (x) - 2)

和/差の法則を適用:

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

= \frac{\partial}{\partial x} (ln (x)) - \frac{\partial}{\partial x} (2)

\frac{\partial}{\partial x} (ln (x)) = \frac{1}{x}

\frac{\partial}{\partial x} (2) = 0

= \frac{1}{x} - 0

簡素化

= \frac{1}{x}

人気の例

limit as x approaches 1 of (2x)/(x^2+x)

x \to 1 lim (\frac{2 x}{x ^{2} + x})

(\partial)/(\partial y)(-xy)

\frac{\partial}{\partial y} (- x y)

derivative of (2x^2+1^4)

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

(d^2)/(dx^2)(e^{-x})

\frac{d ^{2}}{d x ^{2}} (e^{- x})

y^'=e^{2x-1}*y^2

y^{^{'}} = e^{2 x - 1} \cdot y^{2}