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人気のある微分積分 >

(d^3)/(dx^3)(ln(x))

解

\frac{d ^{3}}{d x ^{3}} (ln (x))

解

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

解答ステップ

\frac{d ^{3}}{d x ^{3}} (ln (x))

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

= \frac{d ^{2}}{d x ^{2}} (\frac{1}{x})

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{x ^{2}}

= \frac{d}{d x} (- \frac{1}{x ^{2}})

\frac{d}{d x} (- \frac{1}{x ^{2}}) = \frac{2}{x ^{3}}

= \frac{2}{x ^{3}}

人気の例

derivative of 6/x-2/(x^3+1/(x^4))

\frac{d}{d x} (\frac{6}{x} - \frac{2}{x ^{3}} + \frac{1}{x ^{4}})

derivative y=x^{-8cos(x)}

d er i v a t i v e y = x^{- 8 c o s (x)}

tangent y=sin(t)+1/6 e^t,(pi, 1/6 e^pi)

t an g e n t y = sin (t) + \frac{1}{6} e^{t}, (π, \frac{1}{6} e^{π})

derivative of y=x^4*x^5

\frac{d}{d x} y = x^{4} \cdot x^{5}

integral of ((x^2+1))/((x-8)(x-7)^2)

\int \frac{( x ^{2} + 1 )}{( x - 8 ) ( x - 7 ) ^{2}} d x