implicit (dy)/(dx),y=x^pi

解答

隐函数求导

\frac{d y}{d x}, y = x^{π}

\frac{d y}{d x} = π x^{π - 1}

求解步骤

y = x^{π}

将

y

视为

y (x)

对两侧微分:

\frac{d y}{d x} = π x^{π - 1}

整理

\frac{d y}{d x} : \frac{d y}{d x} = π x^{π - 1}

\frac{d y}{d x} = π x^{π - 1}

a re a y = 3 x, y = \frac{1}{x}, x = 27

t y^{^{'}} + t^{2} + t y - y = 0

h \to 0 lim (\frac{( 1 + h ) ^{9} - 1}{h})

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

\int_{0}^{2} x 1 + 2 x^{2} d x