Composite If z=f(x,y)where x=e^u-e^(-v),y=e^(-u)-e^v then prove that (∂z/∂u-∂z/∂v)= x ∂z/∂x- y ∂z/∂y

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If z=f(x y) x=e^u+e^-v y=e^-u-v show Әz/Әu - Әz/Әv = xӘu/Әx - yӘu/Әy PARTIAL DIFFERENTIATION If z=f(x y) x=e^u+e^-v y=e^-u-v show Әz/Әu - Әz/Әv = xӘu/Әx - yӘu/Әy PARTIAL DIFFERENTIATION
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If z = f(x, y) and x = eu + e-v , y = e-u – ev. Prove that 𝒅𝒛/𝒅𝒖 − 𝒅𝒛/𝒅𝒗 = x 𝒅𝒛/𝒅𝒙 – y 𝒅𝒛/𝒅𝒚 . If z = f(x, y) and x = eu + e-v , y = e-u – ev. Prove that 𝒅𝒛/𝒅𝒖 − 𝒅𝒛/𝒅𝒗 = x 𝒅𝒛/𝒅𝒙 – y 𝒅𝒛/𝒅𝒚 .
[BMATS101] Model Q.P. 1 (Q.3b) | Module 2 | Partial Differentiation Composite Functions [BMATS101] Model Q.P. 1 (Q.3b) | Module 2 | Partial Differentiation Composite Functions
Engg_Maths | If z=f(x, y) Where x=(e^u)+(e^-v), y=(e^-u)-(e^v) PT x(∂z/∂x)-y(∂z/∂y)=(∂z/∂u)-(∂z/∂v) Engg_Maths | If z=f(x, y) Where x=(e^u)+(e^-v), y=(e^-u)-(e^v) PT x(∂z/∂x)-y(∂z/∂y)=(∂z/∂u)-(∂z/∂v)