Find the Direction of Maximum Increase of the Function $f ( x , y , z ) = x e ^ { - y } + 3 z$

question 82

Multiple Choice

Find the direction of maximum increase of the function $f ( x , y , z ) = x e ^ { - y } + 3 z$ at the point $( 1,0,4 )$ .

• A) \(\{ 1,1,3 \}\)
• B) \(\{ - 1 , - 1,3 \}\)
• C) \(\{ - 1,1,3 \}\)
• D) \((1 , - 1,4 )\)
• E) \(\{ 1,3,3 \}\)
• F) \(\{ 1 , - 3,3 \}\)
• G) \(\{ 1 , - 1,3 \}\)
• H) \(\{ - 1,1,4 \}\)

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