Suppose that f(x, y) = x^3y^2. The directional derivative of f(x, y) in the directional (3, -1)

Name: Suppose that f(x, y) = x^3y^2. The directional derivative of f(x, y) in the directional (3, -1) and at the point (x, y) = (-2, 1) is
Uploaded: 2023-05-20T23:17:05-08:00
Duration: 2 min 23 s
Channel: Vincenzo Zaccaro
Description: Suppose that f(x, y) = x^3y^2. The directional derivative of f(x, y) in the directional (3, -1) and at the point (x, y) = (-2, 1) is

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Vincenzo Zaccaro · Accepted Answer

Step 1: Recall the directional derivative formula D_u f(x,y) = ∇f(x,y) · u, where u is the unit

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Suppose that $f(x, y) = x^3y^2$. The directional derivative of $f(x, y)$ in the directional $(3, -1)$ and at the point $(x, y) = (-2, 1)$ is

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