Ready solution of the problem. The sorcerer of Arutyunov. Task number 267.

261 - 270. Given a function z = f (x; y), the point A (x0; y0) and the vector ā (a1; a2). Find: 1) gradz at the point A; 2) the derivative at the point A in the direction of the vector ā.

267. z = arcsin (x2 / y), A (1; 2); Ā = 5i - 12j

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)