(d^2)/(dx^2)(x/(x^2-9))

解答

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x ^{2} - 9})

- \frac{2 x ( - x ^{2} - 27 )}{( x ^{2} - 9 ) ^{3}}

求解步骤

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x ^{2} - 9})

\frac{d}{d x} (\frac{x}{x ^{2} - 9}) = \frac{- x ^{2} - 9}{( x ^{2} - 9 ) ^{2}}

= \frac{d}{d x} (\frac{- x ^{2} - 9}{( x ^{2} - 9 ) ^{2}})

\frac{d}{d x} (\frac{- x ^{2} - 9}{( x ^{2} - 9 ) ^{2}}) = - \frac{2 x ( - x ^{2} - 27 )}{( x ^{2} - 9 ) ^{3}}

= - \frac{2 x ( - x ^{2} - 27 )}{( x ^{2} - 9 ) ^{3}}

\int sec^{2} (\frac{7}{3} x + 4) d x

\int (2 x - e^{x}) d x

x \to 0 lim (\frac{sin ( 10 x )}{11 x})

\frac{\partial}{\partial y} (3 x y + y^{2})

d er i v a t i v e y = e^{x} + x^{2}