du 4. (a) If u = log(x³ + x*y + y°), prove that x=+y = 3 du (b) If u = tan-' (x² + 3xy + y²) , prove that x: +y =2 sinu. cosu ду る

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A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

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A: Given: x=21+t2, y=2t(1+t2).

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Q: dx Vx -9

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A: The derivative is calculated as:

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A: The given equation is yz=e3x+z.

Q: Let fla) =Sint () Find f'(a) Let fla)= sin (u4) , Find f'Ca) Find f'(a) ニ

A: We can make it easier for you

Q: Q1) Use implicit differentiation to find dy/dx if a) (3xy + 6)2 = 7y b) x cos(3x + 2y) = y sin x %3D

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