Learn how to generalize the idea of a tangent plane into a linear approximation of scalar-valued multivariable functions.

Now my goal of this video is gonna be to show how we write this local linearization here in vector form, because it'll be both more compact, and hopefully easier to remember, and also it's more …

Sal introduces the idea of approximating curves using their tangent line equations. This is also called "local linearization."

Fundamentally, a local linearization approximates one function near a point based on the information you can get from its derivative (s) at that point. In the case of functions with a two …

Let h be a differentiable function with h (6) = 2 and h ′ (6) = 1 . What is the value of the approximation of h (6.2) using the function's local linear approximation at x = 6 ?

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Sal introduces the idea of approximating curves using their tangent line equations. This is also called "local linearization."

Math> AP®︎/College Calculus AB> Contextual applications of differentiation> Approximating values of a function using local linearity and linearization Linear approximation of a rational …

Quadratic approximations extend the notion of a local linearization, giving an even closer approximation of a function.

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