Find all the second partial derivatives. \(f(x, y) = x^4y - 3x^5y^2\).
a) f_{xx} = 12x^2y - 60xy^2
b) f_{yy} = x^4 - 6x^5y
c) f_{xy} = 4x^3 - 30x^4y
d) f_{yx} = 12x^2y - 60xy^2

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