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.