Find the direction for which the directional derivative of g(x, y) = 4x – xy + 2y² at (-2, 3) is a maximum. What is the unit vector, u, for which Du is maximized, and what is the value of Dy? Select the correct answer below: V197 14 197 ' 197 u = , Du = 14 =(197 197), VT97 Du = V197 14V197 u = Du = V197 197 197 14V197 u = , Du = 197 %3D 197' 197

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.