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人気のある微分積分 >

derivative of x+sqrt(y)

解

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

解

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

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

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

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

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

人気の例

laplacetransform sin(t)

l a pl a ce t r an s f or m sin (t)

limit as x approaches 0+of e^x

x \to 0 + lim (e^{x})

(d^2)/(dx^2)((4x^2+2x)sin(x))

\frac{d ^{2}}{d x ^{2}} ((4 x^{2} + 2 x) sin (x))

勾配 (-2,2),(2,-1)

s l o p e (- 2, 2), (2, - 1)

derivative of 3x^4-16x^3+18x^2

\frac{d}{d x} (3 x^{4} - 16 x^{3} + 18 x^{2})