jcomer27239 jcomer27239

03-05-2022
Mathematics

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Which of the following is the maximum value of the equation y = −x2 − x + 6?

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brightediomo1 brightediomo1

03-05-2022

Step-by-step explanation:

f(x) = y= -x²-x+6

When y is max, f'(x) = 0

f'(x) = -2x-1

Equating to 0,

-2x-1= 0

x= -1/2

Put the value of x in f(x)

y = -(-1/2)² -(-1/2) +6

= -1/4+1/2+6

= 6+1/2

y= 13/2

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