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WBJEE · Maths · Application of Derivatives

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

  1. A 2.002
  2. B 1.9
  3. C 0
  4. D 09
Verified Solution

Answer & Solution

Correct Answer

(B) 1.9

Step-by-step Solution

Detailed explanation

\(\text { Hints: } \frac{\mathrm{dy}}{\mathrm{dx}}=6 \mathrm{x}^2-4 \mathrm{x}+3 \quad \Delta \mathrm{y}=\left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)_{\mathrm{x}-2} \Delta \mathrm{x}=1.9\)