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人気のある微分積分 >

derivative of sqrt(x)+y

解

\frac{d}{d x} (x + y)

解

\frac{1}{2 x} + \frac{d y}{d x}

解答ステップ

\frac{d}{d x} (x + y)

和/差の法則を適用:

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

= \frac{d}{d x} (x) + \frac{d y}{d x}

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

= \frac{1}{2 x} + \frac{d y}{d x}

人気の例

limit as x approaches 3 of (x^3-9x)/((x^2)-3x)

x \to 3 lim (\frac{x ^{3} - 9 x}{( x ^{2} ) - 3 x})

limit as x approaches 3/2 of x

x \to \frac{3}{2} lim (x)

integral of (18)/(18+e^x)

\int \frac{18}{18 + e ^{x}} d x

derivative 3^{x^3}

d er i v a t i v e 3^{x^{3}}

derivative p(x)=(x-3)^3-(x-2)^2+31

d er i v a t i v e p (x) = (x - 3)^{3} - (x - 2)^{2} + 31