Applications Of Derivatives Question 101

Question: If $ y=x^{3}+5 $ and x changes from 3 to 2.99, then the approximate change in y is

Options:

A) 2.7

B) - 0. 27

C) 27

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ y=x^{3}+5\Rightarrow dy=3x^{2}dx $

$ =3{{(3)}^{2}}-0.01=-0.27 $ .