Q58Comprehension2 Marks11 Dec 2022
Passage
Answer the given subquestions about the functions u(x, y) = x^3 + e^y and v(x, y) = y^3 + y e^x.
If (v_1, v_2) is the unit vector along the direction in which the directional derivative of the function u(x, y) at the point is the maximum and (v_1, v_2) is the unit vector along the direction in which the directional derivative of the function v(x, y) at the point is the minimum, then which of the following options is/are true?