Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.3 Tangent Planes and Linear Approximations, #41 · Multivariable Calculus · Partial derivatives

The matrix in Newton’s method is the _Jacobian_: …J=\left[\begin{array}{cc} \partial g/\partial x…

The matrix in Newton’s method is the _Jacobian_:
$J = [\partial g / \partial x \partial h / \partial x \partial g / \partial y \partial h / \partial y] and J [Δ x Δ y] = [- g_{n} - h_{n}] .$
Find $J$ and $Δ x$ and $Δ y$ for $g = e^{x} - 1, h = e^{y} + x$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.3 Tangent Planes and Linear Approximations, #41

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