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人気のある微分積分 >

(\partial)/(\partial x)(log_{e}(x))

解

\frac{\partial}{\partial x} (lo g_{e} (x))

解

\frac{1}{x}

解答ステップ

\frac{\partial}{\partial x} (lo g_{e} (x))

簡素化

lo g_{e} (x) : ln (x)

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

共通の導関数を適用:

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

= \frac{1}{x}

人気の例

limit as x approaches-2+of f(x)

x \to - 2 + lim (f (x))

integral of ae^{-ax}

\int a e^{- a x} d x

(x^{3} cos (x))^{^{'}}

integral of 1/(16x^4-8x^2+1)

\int \frac{1}{16 x ^{4} - 8 x ^{2} + 1} d x

sum from n=0 to infinity of (4n)/(8n+5)

n = 0 \sum \infty \frac{4 n}{8 n + 5}