If u=f (x, y) where x = (e^s) (cos (t)) and y = (e^s) (sin (t)), show that (du/dx) ^2 + (du/dy) ^2 = (e^ (-2s)) ((du/ds) ^2 + (du/dt) ^2)) ... ?

Question

Ellen Oconnor

Mathematics

25 June, 23:26

If u=f (x, y) where x = (e^s) (cos (t)) and y = (e^s) (sin (t)), show that (du/dx) ^2 + (du/dy) ^2 = (e^ (-2s)) ((du/ds) ^2 + (du/dt) ^2)) ... ?

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Sam Morse · Answer 1

no usually the problem is set up this way f (x, y) = z if z = w/e (it has an x and a y) where y = (something that has s and t) and x = (something that has s and t) but your question does not make sense to me. Are you sure you wrote it right?