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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Find df for f(x) = x2 + 3x and evaluate it for x = 3 and dx = 0.02 - Mathematics

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Question

Find df for f(x) = x2 + 3x and evaluate it for x = 3 and dx = 0.02

Sum

Solution

y = f(x) = x2 + 3x

dy = (2x + 3) dx

dy {when x = 3 and dx = 0.02}

= [2(3) + 3](0.0.2)

= 9(0.02)

= 0.18

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Linear Approximation and Differentials
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Chapter 8: Differentials and Partial Derivatives - Exercise 8.2 [Page 67]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 8 Differentials and Partial Derivatives
Exercise 8.2 | Q 2. (ii) | Page 67

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