Find the Direction $\theta$ In Which the Directional Derivative of the Function

question 151

Multiple Choice

Find the direction $\theta$ in which the directional derivative of the function $f ( x , y ) = x y + y ^ { 2 }$ at the point $( 1,1 )$ is maximum.

• A) \(\cot ^ { - 1 } 2\)

---

Definitions:

Ventricular Systole

Contraction of the ventricles.

Diastole

The phase of the heart's cycle during which the heart muscles relax and the chambers fill with blood.

Fibrillation

An uncoordinated twitching of the muscle fibers, particularly in the heart, leading to inefficient pumping action.

Ischemia

A condition characterized by insufficient blood flow to a part of the body, causing a shortage of oxygen that is needed for cellular metabolism.