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人気のある微分積分 >

(d^3)/(dx^3)(x^4-8x^3)

解

\frac{d ^{3}}{d x ^{3}} (x^{4} - 8 x^{3})

解

24 x - 48

解答ステップ

\frac{d ^{3}}{d x ^{3}} (x^{4} - 8 x^{3})

\frac{d}{d x} (x^{4} - 8 x^{3}) = 4 x^{3} - 24 x^{2}

= \frac{d ^{2}}{d x ^{2}} (4 x^{3} - 24 x^{2})

\frac{d}{d x} (4 x^{3} - 24 x^{2}) = 12 x^{2} - 48 x

= \frac{d}{d x} (12 x^{2} - 48 x)

\frac{d}{d x} (12 x^{2} - 48 x) = 24 x - 48

= 24 x - 48

人気の例

derivative of e^{cos(sqrt(x+3)})

\frac{d}{d x} (e^{c o s (x + 3)})

-8t^2y^{''}-4t(t-4)y^'+4(t-4)y=0

- 8 t^{2} y^{^{''}} - 4 t (t - 4) y^{^{'}} + 4 (t - 4) y = 0

面積 y^2=x,x-2y=3

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

derivative of 3x(x^2-x+1(5x-3))

\frac{d}{d x} (3 x (x^{2} - x + 1) (5 x - 3))

(dy)/(dt)=-2y,y(0)= 1/10

\frac{d y}{d t} = - 2 y, y (0) = \frac{1}{10}