implicit-5x^2+3y^2=1

解答

隐函数求导

- 5 x^{2} + 3 y^{2} = 1

\frac{d y}{d x} = \frac{5 x}{3 y}

求解步骤

- 5 x^{2} + 3 y^{2} = 1

将

y

视为

y (x)

对两侧微分:

- 10 x + 6 y \frac{d y}{d x} = 0

整理

\frac{d y}{d x} : \frac{d y}{d x} = \frac{5 x}{3 y}

\frac{d y}{d x} = \frac{5 x}{3 y}

\frac{\partial}{\partial x} (x yz w + 2 x + 3 y + 4 z + w)

\frac{d}{d x} ((\frac{2 x}{x ^{2} + 1})^{2})

\frac{\partial}{\partial y} (e^{- y} cos (x))

\frac{d}{d x} (ln (\frac{x ^{2}}{1 + x ^{2}}))

\frac{d}{d x} (2 x^{3} ln (3 x - 2))