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人気のある微分積分 >

derivative of x^3-3x-sqrt(x)

解

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

解

3 x^{2} - 3 - \frac{1}{2 x}

解答ステップ

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

和/差の法則を適用:

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

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

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

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

\frac{d}{d x} (x) = \frac{1}{2 x}

= 3 x^{2} - 3 - \frac{1}{2 x}

グラフ

人気の例

derivative arccos(2x)

d er i v a t i v e arccos (2 x)

tangent f(x)=sqrt(x+6),\at x=1

t an g e n t f (x) = x + 6, at x = 1

derivative (x^2)/(7+6x)

d er i v a t i v e \frac{x ^{2}}{7 + 6 x}

derivative of sqrt({R)(x(x)^2-x^2})

\frac{d}{d x} (R (x) (x)^{2} - x^{2})

integral of (sec^2(1/x))/(x^2)

\int \frac{sec ^{2} ( \frac{1}{x} )}{x ^{2}} d x