Find the maximum/minimum value of y = x2 - x + 1/4. At what value of x it occurs?

f(x) has a minimum value is zero at  

Step-by-step explanation:

Explanation:-

step(i):-

Given function y =f(x)=  x² - x + 1/4 ....(i)

Differentiating equation (i) with respective to 'x', we get

 ...(ii)

Equating Zero   2 x - 1 = 0

Step(ii):-

Again differentiating with respective to 'x', we get

f(x) has a minimum value at  

Step(iii):-

y =f(x) =  x² - x + 1/4

Put  

f(x) has a minimum value is zero at  

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step-by-step explanation: