generic · 12th TN - English Medium · MATHEMATICS-VOLUME 2 · Page 88

EXERCISE 8.6

Chapter 2: Chapter 8 · MATHEMATICS-VOLUME 2 · EN medium

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. If u x y x y e t and y = sin , find du dt and evaluate it at t = . . If u x y z xy z t y z du dt ( , , ) sin , cos , = + find . If w x y z z ( , , ) and z cos , find dw dt . . Let U x y z xyz x t z t t ( , , ) cos , sin ,  . Find dU dt . . If w x y s s s cos ,  , find dw ds , and evaluate at s = , . If z x y se tan ( ), s, −  . Find ∂ z s and ∂ z t at s = t = . . Let U x y , where x st s t s t  . Find ∂

📖 Class 12 Mathematics English Volume 2 2025 Edition www.tntextbooks.in · Page 88

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. If u x y x y e t and y = sin , find du dt and evaluate it at t = . . If u x y z xy z t y z du dt ( , , ) sin , cos , = + find .

If w x y z z ( , , ) and z cos , find dw dt . . Let U x y z xyz x t z t t ( , , ) cos , sin ,  . Find dU dt .

. If w x y s s s cos ,  , find dw ds , and evaluate at s = , . If z x y se tan ( ), s, −  . Find ∂ z s and ∂ z t at s = t = .

. Let U x y , where x st s t s t  . Find ∂

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