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Why is the answer E?

Why is the answer E?-example-1

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Explanation:

The only way the answer could be E is if the x² term under the radical is supposed to be t².

f(x) = ∫₄²ˣ √(t² − t) dt

f'(x) = √((2x)² − 2x) (2)

f'(x) = 2√(4x² − 2x)

f'(2) = 2√(4(2)² − 2(2))

f'(2) = 2√12

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