Let $f ( x , y ) = \sin ( 2 x + y )$

question 201

Multiple Choice

Let $f ( x , y ) = \sin ( 2 x + y )$ . Find the value of the partial derivative $f _ { x y } \left( \pi , \frac { \pi } { 2 } \right)$ .

• A) \(\sqrt { 2 }\)
• B) \(- \sqrt { 2 }\)
• C) \(2 \sqrt { 2 }\)
• D) \(- 2 \sqrt { 2 }\)
• E) \(\frac { \sqrt { 2 } } { 2 }\)
• F) \(- 2\)
• G)2
• H)0

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Definitions:

Distance

A measure of the space between two points, often determining how far apart they are.

Texture Gradient

Monocular depth perception cue; the tendency for textured surfaces to appear to become smaller and finer as distance from the viewer increases.

Pupil

The black circular opening in the center of the iris of the eye, which regulates the amount of light that enters the eye.

Iris

The colored part of the eye that controls the diameter and size of the pupil, thus influencing the amount of light that reaches the retina.