For which value of $x$ is $f(x)=\sum_\limits {k=1}(x-k)^2$ minimum ?

JEE MATHEMATICS MCQ: MAXIMA & MINIMA

1 Easy

1 of 1

Application +4 | -1

For which value of

x

f(x)=\sum\limits_{{k=1}}(x-k)^2

minimum ?

View answer and explanation

Correct option: B

1008

Option B (1008) is correct because by taking the derivative of the function and setting it to zero, we find the value of x that minimizes the function.

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