$C =e^{10^{-4}(-x^2-2y^2)}$ path using calculus or directional derivative?

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enter image description here My work:

I guess directional derivative has to do something with it. i an find the $$\nabla C $$ but how to find the direction of maximum increase ? Concentration is from the source and shark position is somewhere else.

How to get path from ppm ?? ppm is chemistry hahaha. I hate it Furthermore it states 2 methods to solve.

Can you give me hints of the methods and let me know what do I need to find. I can try on my own. Please do comment