d/dx x^2 y^4, d/dy x^2 y^4 - Wolfram|Alpha

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Result:

link to /input/?i=%7B2+x+y%5E4%2C+4+x%5E2+y%5E3%7D&lk=1&a=ClashPrefs_*Math-
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Vector length:

link to /input/?i=sqrt%2816+abs%28x%5E2+y%5E3%29%5E2%2B4+abs%28x+y%5E4%29%5E2%29&lk=1&a=ClashPrefs_*Math-
EnlargeEnable InteractivityDownload as CDF

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