Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.5 The Chain Rule, #41 · Multivariable Calculus · Partial derivatives

For … on the plane …, find … and … and

For $f = a x + b y$ on the plane $z = 3 x + 5 y$ , find $(\partial f / \partial x)_{z}$ and $(\partial f / \partial x)_{y}$ and $(\partial f / \partial z)_{x}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.5 The Chain Rule, #41

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