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  3. let u = f(x,y), where x = rcosθ and y = rsin�

Let u = f(x,y), where x = rcosθ and y = rsinθ. Using the chain rules,...

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Advance Math

Let u = f(x,y), where x = rcosθ and y = rsinθ. Using the chainrules, carefully calculate the partial derivatives ∂u/ ∂r and ∂u/∂θ , and the second partial derivatives ∂2u/ ∂r2 and ∂2u/ ∂θ2 , interms of r, θ, and the partial derivatives fx, fy, fxx, fxy,fyy.

∂u /∂r =

∂u /∂θ =

∂^2u/ ∂r^2 =

∂^2u ∂θ^2=

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