(d^4)/(dx^4)(11e^{x^2})

解答

\frac{d ^{4}}{d x ^{4}} (11 e^{x^{2}})

22 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

求解步骤

\frac{d ^{4}}{d x ^{4}} (11 e^{x^{2}})

\frac{d}{d x} (11 e^{x^{2}}) = 22 e^{x^{2}} x

= \frac{d ^{3}}{d x ^{3}} (22 e^{x^{2}} x)

\frac{d}{d x} (22 e^{x^{2}} x) = 22 (2 e^{x^{2}} x^{2} + e^{x^{2}})

= \frac{d ^{2}}{d x ^{2}} (22 (2 e^{x^{2}} x^{2} + e^{x^{2}}))

\frac{d}{d x} (22 (2 e^{x^{2}} x^{2} + e^{x^{2}})) = 22 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

= \frac{d}{d x} (22 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x))

\frac{d}{d x} (22 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)) = 22 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

= 22 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

\frac{d}{d x} (2 x^{3} - 7 x^{2} + 3 x - 2)

\frac{d}{d x} ((7 + 2 x) e^{- 3 x})

t^{2} y^{^{''}} + 2 t y^{^{'}} - 1 = 0

\int_{2}^{5} (x - 2)^{2} d x

x \to \infty lim (\frac{2}{x} - 3)