(d^3)/(dx^3)(e^{x^2})

解答

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

2 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

求解步骤

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

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

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

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

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

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

= 2 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

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

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

\int_{1200}^{1210} 0.1 x d x

x \to 0 lim (x^{3} \cdot ln (x))

\frac{\partial}{\partial z} (3)