Question

2. Find an equation of the tangent plane of w = f(x, y, z) = 2x^4y^2 - 6xz^3 at (-2,1,1) 3. For w = f(x, y, z) = 2x^4y^2 - 6xz^3, use the tangent plane to estimate f(-2.03, 1.04, 1.02)

          2. Find an equation of the tangent plane of w = f(x, y, z) = 2x^4y^2 - 6xz^3 at (-2,1,1)
3. For w = f(x, y, z) = 2x^4y^2 - 6xz^3, use the tangent plane to estimate f(-2.03, 1.04, 1.02)

Added by James R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

03/24/2023

Step 1

$$ \frac{\partial f}{\partial x} = 2y^2 + 6z^2 \\ \frac{\partial f}{\partial y} = 4xy \\ \frac{\partial f}{\partial z} = 12xz $$ Show more…

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Question

2. Find an equation of the tangent plane of w = f(x, y, z) = 2x^4y^2 - 6xz^3 at (-2,1,1) 3. For w = f(x, y, z) = 2x^4y^2 - 6xz^3, use the tangent plane to estimate f(-2.03, 1.04, 1.02)

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