Web Reference: Nov 16, 2022 · Section 14.1 : Tangent Planes and Linear Approximations Earlier we saw how the two partial derivatives \ ( {f_x}\) and \ ( {f_y}\) can be thought of as the slopes of traces. We want to extend this idea out a little in this section. Oct 8, 2025 · Determine the equation of a plane tangent to a given surface at a point. Use the tangent plane to approximate a function of two variables at a point. Explain when a function of two variables is differentiable. Use the total differential to approximate the change in a function of two variables. Learn how to generalize the idea of a tangent plane into a linear approximation of scalar-valued multivariable functions.
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