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MHT CET202411 May 2024Morning ShiftMathematicsApplication of DerivativesActual

The approximate value of (3.978)^ 3 2 is

Options

  1. A7.934
  2. B8.934
  3. C7.022
  4. D8.866^

Correct answer

A. 7.934

Step-by-step solution

aligned & Let f (x)=x^ 3 2 & f ^ (x)= 3 2 x^ 1 2 & Here, a =4, ~h =-0.022 & f (3.978)=(4)^ 3 2 =-0.022 3 2 (4)^ 1 2 &=8-0.033 2 &=8-0.066=7.934 aligned

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