The number that exceeds its square by the greatest amount is - Vidyadip

MCQ

The number that exceeds its square by the greatest amount is

A
$-1$
B
$0$
✓
${1 \over 2}$
D
$1$

✓

Answer

Correct option: C.

${1 \over 2}$

c
(c) Let the number is $x,$ then $y = x - {x^2}$

==>$\frac{dy}{d{{x}^{{}}}}$ and $\frac{{{d^2}y}}{{d{x^2}}} = - 2( < 0)$

==> $1 - 2x = 0 \Rightarrow x = \frac{1}{2}$.

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