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人気のある微分積分 >

derivative of-x^3+2x^2+11x+a

解

\frac{d}{d x} (- x^{3} + 2 x^{2} + 11 x + a)

解

- 3 x^{2} + 4 x + 11

解答ステップ

\frac{d}{d x} (- x^{3} + 2 x^{2} + 11 x + a)

和/差の法則を適用:

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

= - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (11 x) + \frac{d a}{d x}

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

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

\frac{d}{d x} (11 x) = 11

\frac{d a}{d x} = 0

= - 3 x^{2} + 4 x + 11 + 0

簡素化

= - 3 x^{2} + 4 x + 11

グラフ

人気の例

derivative f(x)=tan(x)sin(6x^3)

d er i v a t i v e f (x) = tan (x) sin (6 x^{3})

derivative of 10^x-10^{-x}

\frac{d}{d x} (1 0^{x} - 1 0^{- x})

derivative f(x)=(x^2-2/x)^{-5}

d er i v a t i v e f (x) = (x^{2} - \frac{2}{x})^{- 5}

limit as x approaches infinity of 13x(e^{1/x})-13x

x \to \infty lim (13 x (e^{\frac{1}{x}}) - 13 x)

y^'=8-y/(200)4,y(0)=50

y^{^{'}} = 8 - \frac{y}{200} 4, y (0) = 50