Compute the matrix of partial derivatives of the function f: R³ → R², ƒ (x, y, z) = (3x + 5e² + 3y, 8yx²) and select the correct answer from the given choices. 3 5e² 3 0 8x² Df(x, y, z) = 16xy 3 Df(x, y, z) = 5e² 3 Df(x, y, z) = 3 3 5e² 16xy 8x² 0 16xy 8x² 0 3 5e² 3 Df(x, y, z) = 16x3 6ху ) Dƒ(x, y, z) = [6 + 5e² 16xy+8x²] 8x² 0

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A: Step 1: Step 2: Step 3: Step 4:

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Q: Find the nine second partial derivatives. w = x²y3+9xyz - 2yz W XX E W xy || = W XZ = Wyx Wyy Wyz =…

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