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ml-recall

#multivariate-calculus

1 question from Optimization & Calculus

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Question 1: Short answer

mediumAI-checkedOptimization & Calculus

Let u=f(x,y,z)=x2+yzu = f(x, y, z) = x^2 + yz with x=a+bx = a + b, y=aby = ab and z=a−bz = a - b. Use the multivariate chain rule to compute ∂u/∂a\partial u / \partial a at (a,b)=(1,2)(a, b) = (1, 2).

an integer