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11-11-2021
Mathematics

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Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs

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Аноним Аноним

11-11-2021

Answer:

Step-by-step explanation:

a maximum or minimum occurs where the derivative equals zero

f(x) = -2x² + 14x - 10

f'(x) = -4x + 14

0 = -4x + 14

4x = 14

x = 3.5

f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5

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