Question

Why is the answer E?

Answer 1

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