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 $ .