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Find d/dx (4*sqrt(x) - 2x - 7).

1. 2/sqrt(x) - 2
2. 2*sqrt(x) - 2
3. 4/sqrt(x) - 2
4. 1/sqrt(x) - 2

Correct answer: 2/sqrt(x) - 2

Solution

d/dx(4x^(1/2)) = 4*(1/2)x^(-1/2) = 2x^(-1/2) = 2/sqrt(x); d/dx(-2x) = -2; d/dx(-7) = 0.

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