Find the derivative of the function at P0 in the direction of A. f(x,y,z) = xy + yz + zx, (1, -1, 2), A = 3i + 2j - 6k The derivative of f(x,y,z) at the point P0 in the direction of A is (Simplify your answer.)
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First, we need to find the gradient of the function f(x, y, z) = xy + yz + zx. To do this, we'll take the partial derivatives with respect to x, y, and z. ∇f = (∂f/∂x, ∂f/∂y, ∂f/∂z) = (y + z, x + z, x + y) Show more…
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