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人気のある微分積分 >

(\partial)/(\partial x)(10x^{0.5})

解

\frac{\partial}{\partial x} (10 x^{0.5})

解

\frac{5}{x ^{0.5}}

解答ステップ

\frac{\partial}{\partial x} (10 x^{0.5})

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= 10 \frac{\partial}{\partial x} (x^{0.5})

乗の法則を適用:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 10 \cdot 0.5 x^{0.5 - 1}

簡素化

10 \cdot 0.5 x^{0.5 - 1} : \frac{5}{x ^{0.5}}

= \frac{5}{x ^{0.5}}

人気の例

inverselaplace 4/(s^2)-(10)/s

in v erse l a pl a ce \frac{4}{s ^{2}} - \frac{10}{s}

derivative of 1/(1+e^{-x})

\frac{d}{d x} (\frac{1}{1 + e ^{- x}})

limit as h approaches 0-of (2^h-1)/h

h \to 0 - lim (\frac{2 ^{h} - 1}{h})

limit as x approaches 0 of-5/x

x \to 0 lim (- \frac{5}{x})

integral of (x+5)/((x+3)(x-1))

\int \frac{x + 5}{( x + 3 ) ( x - 1 )} d x