0
f(x) = -x2 + 6x - 4
∴ f'(x) = -2x + 6
Solve for f'(x) = 0:
0 = -2x + 6
x = 3
So the peak occurs at the point where x = 3. Now you can calculate the value of f(3)
f(3) = -32 + 6(3) - 4
∴ f(3) = -9 + 18 - 4
∴ f(3) = 5
So the maximum value of that function is 5, and it occurs when x = 3.
To prove that it's a maximum, take the second derivative:
f'(x) = -2x + 6
∴ f''(x) = -2
Because it's negative, we know that this is the peak of the curve.
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∙ 14y ago
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A = 4 (7x4) + 8 = 36 (6x4) + 14 = 36
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It has two complex roots.
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1500 to 2000 US cents will fit into a 6x4 jar.
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The answer is 24
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24
