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人気のある微分積分 >

(d^2)/(dx^2)(5e^xcos(x))

解

\frac{d ^{2}}{d x ^{2}} (5 e^{x} cos (x))

解

- 10 e^{x} sin (x)

解答ステップ

\frac{d ^{2}}{d x ^{2}} (5 e^{x} cos (x))

\frac{d}{d x} (5 e^{x} cos (x)) = 5 (e^{x} cos (x) - e^{x} sin (x))

= \frac{d}{d x} (5 (e^{x} cos (x) - e^{x} sin (x)))

\frac{d}{d x} (5 (e^{x} cos (x) - e^{x} sin (x))) = - 10 e^{x} sin (x)

= - 10 e^{x} sin (x)

人気の例

x(dy)/(dx)+xy=1-y,y(1)=0

x \frac{d y}{d x} + x y = 1 - y, y (1) = 0

(e^x+y)dx+(2+x+ye^y)dy=0,y(0)=0

(e^{x} + y) d x + (2 + x + y e^{y}) d y = 0, y (0) = 0

面積 y=x^3,y=x^2,x=-1

a re a y = x^{3}, y = x^{2}, x = - 1

integral of (23)/((1-x^2)^{3/2)}

\int \frac{23}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

limit as x approaches 5-of (8x)/(x-5)

x \to 5 - lim (\frac{8 x}{x - 5})