Question: Is there a function f(x, y) such that fx = ex cosy and fy = ex sin y? If so, find one. If not, explain

 Is there a function f(x, y) such that fx = ex

cosy and fy = ex sin y? If so, find one. If

Is there a function f(x, y) such that fx = ex cosy and fy = ex sin y? If so, find one. If not, explain the reason

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