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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: If g(x, y) = 3x2 – 5y + 2y2, x(t) = et and y(t) = cos t then dgdtdgdt is equal to

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Question

Choose the correct alternative:

If g(x, y) = 3x2 – 5y + 2y2, x(t) = et and y(t) = cos t then `"dg"/"dt"` is equal to

Options

  • 6e2t + 5sin t – 4cos t sin t

  • 6e2t – 5 sin t – 4cos t sin t

  • 3e2tt + 5sin t + 4cos t sin t

  • 3e2t – 5sint + 4cos t sin t

MCQ
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Solution

6e2t + 5sin t – 4cos t sin t

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Partial Derivatives
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Chapter 8: Differentials and Partial Derivatives - Exercise 8.8 [Page 87]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 8 Differentials and Partial Derivatives
Exercise 8.8 | Q 10 | Page 87

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