a) Find the directional derivative f (x, y, z) = x In(y+z) at point P (2, e, e) in the direction of the vector V =< 2,-1,1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Question (a):** Find the **directional derivative** of the function \( f(x, y, z) = x \ln(y + z) \) at the point \( P(2, e, e) \) in the direction of the vector \( \vec{V} = \langle 2, -1, 1 \rangle \).
Transcribed Image Text:**Question (a):** Find the **directional derivative** of the function \( f(x, y, z) = x \ln(y + z) \) at the point \( P(2, e, e) \) in the direction of the vector \( \vec{V} = \langle 2, -1, 1 \rangle \).
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We have to find directional derivative of vector f in the direction of vector v:

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