If x= f(u, v), y = g(u, v), u = D(r,s), and v=Y(r,s) are differentiable functions then prove that (***)-(***) (*) = 24,

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A: our objective is to find the required derivative

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Q: Let f(æ) = In a*(x + 5)*(2² + 4)*| f'(x) =

A: We will use properties of logarithm. lnan = n lna  ln(a.b) = lna + lnb

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Q: 12. Let f(z,y) = < then f(1,2) = (b) 글 (d) 금

A: Given :fx, y=x-yx+y-1

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Q: 3) Suppose that f is a differentiable function with domain [0,5] and f' (3) = 0. True or False: This…

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Q: 2. At what points of R² is the function continuous? (sin(x² + y²) x² + y² f(x, y) = 0, -, if (x, y)…

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Q: QUESTION 6 Let fo(x) = nx2 +5 for neN and x ER 4n +3 1. Show that (f.(x)) converges uniformly on [ -…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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