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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Find the partial dervatives of the following functions at indicated points. g(x, y) = 3x2 + y2 + 5x + 2, (2, – 5)

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Question

Find the partial dervatives of the following functions at indicated points.

g(x, y) = 3x2 + y2 + 5x + 2, (2, – 5)

Sum
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Solution

g(x, y) = 3x2 + y2 + 5x + 2

`(delg)/(delx)` = 6x ++ 5

`(delg)/(dely)` = 2y

At (1, – 2)

⇒ `(delg)/(delx)` = 6(1) + (5)

= 11

`(delg)/(dely)` = 2(– 2)

= – 4

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Partial Derivatives
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Chapter 8: Differentials and Partial Derivatives - Exercise 8.4 [Page 79]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 8 Differentials and Partial Derivatives
Exercise 8.4 | Q 1. (ii) | Page 79

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