(d^2)/(dx^2)(1/(4x^2+5x))

解答

\frac{d ^{2}}{d x ^{2}} (\frac{1}{4 x ^{2} + 5 x})

- \frac{2 ( - 48 x ^{2} - 60 x - 25 )}{( 4 x ^{2} + 5 x ) ^{3}}

求解步骤

\frac{d ^{2}}{d x ^{2}} (\frac{1}{4 x ^{2} + 5 x})

\frac{d}{d x} (\frac{1}{4 x ^{2} + 5 x}) = - \frac{8 x + 5}{( 4 x ^{2} + 5 x ) ^{2}}

= \frac{d}{d x} (- \frac{8 x + 5}{( 4 x ^{2} + 5 x ) ^{2}})

\frac{d}{d x} (- \frac{8 x + 5}{( 4 x ^{2} + 5 x ) ^{2}}) = - \frac{2 ( - 48 x ^{2} - 60 x - 25 )}{( 4 x ^{2} + 5 x ) ^{3}}

= - \frac{2 ( - 48 x ^{2} - 60 x - 25 )}{( 4 x ^{2} + 5 x ) ^{3}}

\frac{d}{d x} (cos (7 - 2 x))

\frac{d}{d x} (e^{x} (x \cdot sin (x) + (1 - x) \cdot cos (x)))

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\int cos^{2} (5 y) sin (5 y) d y

\int_{- 3}^{\infty} e^{- x} d x