目录目录 Inverse function theorem Inverse function theorem (smooth version) Definition Lemma Corollary Lemma Definition Before stating the implicit function theorem, recall the following: Inverse function theorem Let \(U \subset \mathbb{R}^...
函数的微分与全微分 一、微分 1.1 定义 正方形金属薄片,函数 A = x 2 A=x^2 A = x 2 相应的增量 Δ A \Delta A Δ A ,即 Δ A = ( x 0 + Δ x ) 2 ? x 0 2 = 2 x 0 Δ x + ( Δ x ) 2 \Delta A=(x_0+\Delta x)^2-x_0^2=2x_0\Delta x+(\Delta x)^2 Δ A = (...