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NDA 2020
Exam
NDA
Year
2020
Subject
Mathematics
Chapter
Application of Derivatives

NDA 2020 · Mathematics · Application of Derivatives

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

Let y=3x2+2y=3 x^2+2. If xx changes from 10 to 10.1 , then what is the total change in yy ?

Options

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

Correct answer

C. 6.03

Step-by-step solution

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