Compute the gradient of the following functions: 1. f(x, y) = xy 2. f(x, y) =...

 

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Compute the gradient of the following functions: 1. f(x, y) = x²y² 2. f(x, y) = x² + y² 3. f(x, y) = e¹² + x In(y) 4. f(x, y, z)=z¹y + 3x z² + xy Question 4. Find the critical points of the following functions: 1. f(x, y) =In(y) + (-2.x² - y) 2. f(x, y)=√xy + 3x y² 3. f(x, y) = x²y-5x -y + 10 4. f(x, y) = 5x y² - x² + y² Compute the gradient of the following functions: 1. f(x, y) = x²y² 2. f(x, y) = x² + y² 3. f(x, y) = e¹² + x In(y) 4. f(x, y, z)=z¹y + 3x z² + xy Question 4. Find the critical points of the following functions: 1. f(x, y) =In(y) + (-2.x² - y) 2. f(x, y)=√xy + 3x y² 3. f(x, y) = x²y-5x -y + 10 4. f(x, y) = 5x y² - x² + y²