#Mark the correct alternative in each of the following
The number which exceeds its square by the greatest possible quantity is
Let the function be according to the question,
f(x)=x-x2
Here,it is asked “greatest possible quantity” so indirectly they are asking for the maximum value at which point x=?
so,f’(x)=1-2x
f’(x)=0
=>1-2x=0
x= �
f”(x)=-2<0
So for x= � maximum value of the function.
Option(A).