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Question: Answered & Verified by Expert
If \(y=2 x^3-2 x^2+3 x-5\), then for \(x=2\) and \(\Delta x=0.1\) value of \(\Delta y\) is
MathematicsApplication of DerivativesWBJEEWBJEE 2011
Options:
  • A 2.002
  • B 1.9
  • C 0
  • D 09
Solution:
1092 Upvotes Verified Answer
The correct answer is: 1.9
\(\text { Hints: } \frac{\mathrm{dy}}{\mathrm{dx}}=6 \mathrm{x}^2-4 \mathrm{x}+3 \quad \Delta \mathrm{y}=\left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)_{\mathrm{x}-2} \Delta \mathrm{x}=1.9\)

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