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人気のある微分積分 >

derivative of-4x^3+10x^2-x

解

\frac{d}{d x} (- 4 x^{3} + 10 x^{2} - x)

解

- 12 x^{2} + 20 x - 1

解答ステップ

\frac{d}{d x} (- 4 x^{3} + 10 x^{2} - x)

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (10 x^{2}) - \frac{d x}{d x}

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

\frac{d}{d x} (10 x^{2}) = 20 x

\frac{d x}{d x} = 1

= - 12 x^{2} + 20 x - 1

グラフ

人気の例

(\partial)/(\partial x)((2x)/(3y))

\frac{\partial}{\partial x} (\frac{2 x}{3 y})

integral of arctan(x)x

\int arctan (x) x d x

limit as x approaches 3-of sqrt(7-x)

x \to 3 - lim (7 - x)

tangent f(x)=ln(x^2-3x+1),\at x=3

t an g e n t f (x) = ln (x^{2} - 3 x + 1), at x = 3

tangent f(x)=(2x+4)^{1/5}

t an g e n t f (x) = (2 x + 4)^{\frac{1}{5}}