Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

If x lies in [0, 1], then minimum value of x2 + x + 1 is

Options:

$\frac{3}{4}$

1

3

None of these

Correct Answer:

1

Explanation:

$f(x)=x^2+x+1 \Rightarrow f'(x) 2 x+1>0$  for  $x \in[0, 1]$

∴  f(x) is monotonically increasing on [0, 1]

∴  Min. value of f(x) is f(0) = 1