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人気のある微分積分 >

(d^3)/(dx^3)(2sqrt(x))

解

\frac{d ^{3}}{d x ^{3}} (2 x)

解

\frac{3}{4 x ^{\frac{5}{2}}}

解答ステップ

\frac{d ^{3}}{d x ^{3}} (2 x)

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

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

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

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

\frac{d}{d x} (- \frac{1}{2 x ^{\frac{3}{2}}}) = \frac{3}{4 x ^{\frac{5}{2}}}

= \frac{3}{4 x ^{\frac{5}{2}}}

人気の例

integral from 1 to sqrt(3 of)9arctan(1x)

\int_{1}^{3} 9 arctan (1 x) d x

derivative f(x)=x^3sqrt(1-x^2)

d er i v a t i v e f (x) = x^{3} 1 - x^{2}

面積 y=1+sqrt(x),y=((x+3))/3

a re a y = 1 + x, y = \frac{( x + 3 )}{3}

tangent f(x)=(ln(x))^3,\at x=3

t an g e n t f (x) = (ln (x))^{3}, at x = 3

integral of ((5x+1))/((2x+1)(x-1))

\int \frac{( 5 x + 1 )}{( 2 x + 1 ) ( x - 1 )} d x