derivative of sqrt(x-2)+sqrt(y-1)

解答

\frac{d}{d x} (x - 2 + y - 1)

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

求解步骤

\frac{d}{d x} (x - 2 + y - 1)

使用微分加减法定则:

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

= \frac{d}{d x} (x - 2) + \frac{d}{d x} (y - 1)

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

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

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

x \to 1 + lim (\frac{x + 10}{1 - x})

t an g e n t x^{2} + x y + y^{2} = 3, (1, 1)

x \to 7 lim (\frac{( x ^{2} - 5 x - 14 )}{x - 7})

y^{^{'}} + \frac{1}{200 + t} y = 0, y (0) = 60

\int \frac{4 x ^{2} sin ( 2 x )}{9} d x