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人気のある微分積分 >

(d^2)/(dx^2)(xe^{4x})

解

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

解

16 e^{4 x} x + 8 e^{4 x}

解答ステップ

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

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

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

\frac{d}{d x} (e^{4 x} + 4 e^{4 x} x) = 16 e^{4 x} x + 8 e^{4 x}

= 16 e^{4 x} x + 8 e^{4 x}

人気の例

tangent f(x)= 1/(2sqrt(x)),\at x=81

t an g e n t f (x) = \frac{1}{2 x}, at x = 81

derivative of 1/((x^3+4^2))

\frac{d}{d x} (\frac{1}{( x ^{3} + 4 ) ^{2}})

limit as x approaches 0-of xln(x)

x \to 0 - lim (x ln (x))

integral from 3 to 8 of (x^3-pix^2)

\int_{3}^{8} (x^{3} - π x^{2}) d x

sum from n=0 to infinity of 9((5/12)^n)

n = 0 \sum \infty 9 ((\frac{5}{12})^{n})