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CUET
-- Mathematics - Section A
Applications of Derivatives
If x lies in [0, 1], then minimum value of x2 + x + 1 is
$\frac{3}{4}$
1
3
None of these
$f(x)=x^2+x+1 \Rightarrow f'(x) 2 x+1>0$ for $x \in[0, 1]$
∴ f(x) is monotonically increasing on [0, 1]
∴ Min. value of f(x) is f(0) = 1