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What is directional derivative of ∅ =xy2 + yz3 at P (2, -1,1) in the direction of a normal to the surface x log z - y2 = -4 at A (-1, 2, 1)?
  • a)
  • b)
    15/17
  • c)
    17/15
  • d)
Correct answer is option 'D'. Can you explain this answer?
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What is directional derivative of ∅ =xy2 + yz3 at P (2, -1,1) in the ...
We have to find the directional derivative of ∅ = xy2 + yz3 at P (2, -1,1) in the direction of a normal to the surface
x log z - y2 = -4 at A (-1, 2, 1)
The vector to the surface
f = x log z - y2 + 4 =0 is
n→ = grad f
= (log z) i – 2yj + x/z k
At A (-1, 2, 1)
Now, directional derivative =
=
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What is directional derivative of ∅ =xy2 + yz3 at P (2, -1,1) in the ...
We have to find the directional derivative of ∅ = xy2 + yz3 at P (2, -1,1) in the direction of a normal to the surface
x log z - y2 = -4 at A (-1, 2, 1)
The vector to the surface
f = x log z - y2 + 4 =0 is
n→ = grad f
= (log z) i – 2yj + x/z k
At A (-1, 2, 1)
Now, directional derivative =
=
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Community Answer
What is directional derivative of ∅ =xy2 + yz3 at P (2, -1,1) in the ...
We have to find the directional derivative of ∅ = xy2 + yz3 at P (2, -1,1) in the direction of a normal to the surface
x log z - y2 = -4 at A (-1, 2, 1)
The vector to the surface
f = x log z - y2 + 4 =0 is
n→ = grad f
= (log z) i – 2yj + x/z k
At A (-1, 2, 1)
Now, directional derivative =
=
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What is directional derivative of ∅ =xy2 + yz3 at P (2, -1,1) in the direction of a normal to the surface x log z - y2 = -4 at A (-1, 2, 1)?a)b)15/17c)17/15d)Correct answer is option 'D'. Can you explain this answer?
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What is directional derivative of ∅ =xy2 + yz3 at P (2, -1,1) in the direction of a normal to the surface x log z - y2 = -4 at A (-1, 2, 1)?a)b)15/17c)17/15d)Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about What is directional derivative of ∅ =xy2 + yz3 at P (2, -1,1) in the direction of a normal to the surface x log z - y2 = -4 at A (-1, 2, 1)?a)b)15/17c)17/15d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is directional derivative of ∅ =xy2 + yz3 at P (2, -1,1) in the direction of a normal to the surface x log z - y2 = -4 at A (-1, 2, 1)?a)b)15/17c)17/15d)Correct answer is option 'D'. Can you explain this answer?.
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