implicit y^5=x^6

解答

隐函数求导

y^{5} = x^{6}

\frac{d y}{d x} = \frac{6 x ^{5}}{5 y ^{4}}

求解步骤

y^{5} = x^{6}

将

y

视为

y (x)

对两侧微分:

5 y^{4} \frac{d y}{d x} = 6 x^{5}

整理

\frac{d y}{d x} : \frac{d y}{d x} = \frac{6 x ^{5}}{5 y ^{4}}

\frac{d y}{d x} = \frac{6 x ^{5}}{5 y ^{4}}

\frac{d}{d x} (\frac{- 0.4}{5 + 5 x})

\frac{d y}{d x} + 0.1 y = 10

\int_{1}^{2} \frac{3 ^{l n (x)}}{x} d x

\int 2^{3 x} d x

x \to 0 lim ((1 + 8 x)^{\frac{5}{x}})