Consider the system defined by xu3 + v = y2 and 3uv – x = 4.

Consider the system defined by xu3 + v = y2 and 3uv – x = 4.

(a) Differentiate it and solve for du and dv in terms of dx and dy.

(b) Find u’x and v’x by using the results in part (a).

(c) The point (x, y, u, v) = (0, 1, 4/3, 1) satisfies the system. Find u’x and v’x at this point.


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