(d^2)/(dx^2)(x/(x^2+4))

解答

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

- \frac{2 x ( - x ^{2} + 12 )}{( x ^{2} + 4 ) ^{3}}

求解步骤

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

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

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

\frac{d}{d x} (\frac{- x ^{2} + 4}{( x ^{2} + 4 ) ^{2}}) = - \frac{2 x ( - x ^{2} + 12 )}{( x ^{2} + 4 ) ^{3}}

= - \frac{2 x ( - x ^{2} + 12 )}{( x ^{2} + 4 ) ^{3}}

\int \frac{64 x ^{2} - 49}{x ^{3}} d x

(1 + y) d x + (1 - x) d y = 0

y^{^{'}} = y ln (\frac{1}{y})

\frac{d}{d x} (5 x - 3 x)

\int \frac{a + b x ^{5}}{6 a x + b x ^{6}} d x