Applications Of Derivatives Question 281
Question: In the interval [0, 1], the function $ x^{2}-x+1 $ is
Options:
A) Increasing
B) Decreasing
C) Neither increasing nor decreasing
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Let $ f(x)=x^{2}-x+1 $ , $ f’(x)=2x-1 $
Obviously $ f’(0)=-1 $ and $ f’(1)=1 $
Thus function is neither increasing nor decreasing.