Question

(1 point) Suppose $f(x, y) = sin(frac{2y}{x})$ and $u$ is the unit vector in the direction of $(2, 3)$. Then, (a) $ abla f(x, y) =$ (b) $ abla f(2, pi) =$ (c) $f_u(2, pi) = D_u f(2, pi) = $

          (1 point) Suppose $f(x, y) = sin(frac{2y}{x})$ and $u$ is the unit vector in the direction of $(2, 3)$. Then,

(a) $
abla f(x, y) =$

(b) $
abla f(2, pi) =$

(c) $f_u(2, pi) = D_u f(2, pi) = $

$(1 point) Suppose f(x, y) = sin(frac2yx) and u is the unit vector in the direction of (2, 3). Then, (a) abla f(x, y) = (b) abla f(2, pi) = (c) fu(2, pi) = Du f(2, pi) =$

Added by Leslie G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Avinash Vishwakarma

02/23/2022

Step 1

Calculate the partial derivatives: $ \frac{\partial f}{\partial x} = -2y \cos(x) $ and $ \frac{\partial f}{\partial y} = 2 \cos(x) $. Therefore, the gradient is $ \nabla f = (-2y \cos(x), 2 \cos(x)) $. Show more…

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