If u = yz/x, v = zx/y, w = xy/z show that ∂(u, v, w) /∂(x, y, z) = 4 | Tamil

If x + y + z = u, y + z = uv, z = uvw, prove that ∂(x, y, z)/∂(u, v, w) = u^2 v | Tamil

If u=2xy, v=x^2–y^2 & x=rcosθ, y=rsinθ. Evaluate ∂(u, v)/∂(r, θ) without actual substitution | Tamil

Jacobians || 𝒖=𝒚𝒛/𝒙; 𝒗=𝒙𝒛/𝒚; 𝒘=𝒙𝒚/𝒛 || Partial Differentiation || 18mat21 || Dr Prashant Patil

Jacobians || 𝒖=𝒙+𝟑𝒚^𝟐−𝒛^𝟑; 𝒗=𝟒𝒙^𝟐 𝒚𝒛; 𝒘=𝟐𝒛^𝟐−𝒙𝒚 || Partial Differentiation || Dr Prashant Patil

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Find the Jacobian ∂(x, y, z)/∂(r, θ, φ) of x = r sinθ cosφ, y = r sinθ sinφ, z = rcosθ | Tamil

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