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NDA2020MathematicsApplication of DerivativesActual

Let y=3 x^2+2 . If x changes from 10 to 10.1 , then what is the total change in y ?

Options

  1. A4.71
  2. B5.23
  3. C6.03
  4. D8.01

Correct answer

C. 6.03

Step-by-step solution

From question, d x=10.1-10=0.1 At, x=10y=(3)(10)^2+2=302 At x=10.1, y=3(10.1)^2+2=308.03 . Total change in y=308.03-302=6.03 .

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