Applications Of Derivatives Question 277
Question: The function $ f(x)=2x^{3}-3x^{2}+90x+174 $ is increasing in the interval
[J & K 2005]
Options:
A) $ \frac{1}{2}<x<1 $
B) $ \frac{1}{2}<x<2 $
C) $ 3<x<\frac{59}{4} $
D) $ -\infty <x<\infty $
Show Answer
Answer:
Correct Answer: D
Solution:
$ {f}’,(x)=6,(x^{2}-x+15)>0,\forall ,x $ .