MediumPartial derivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.3 Tangent Planes and Linear Approximations, #28 · Multivariable Calculus · Partial derivatives

To find out how the roots of … vary with …, take…

To find out how the roots of $x^{2} + b x + c = 0$ vary with $b$ , take partial derivatives of the equation with respect to ______. Compare $\partial x / \partial b$ with $\partial x / \partial c$ to show that a root at $x = 2$ is more sensitive to $b$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.3 Tangent Planes and Linear Approximations, #28

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