If Y = 12 - 6X + 8X^-1/2,then dY/dX is: A) -6 - 4X^-3/2. B) -4X^-3/2. C) 6 - 4X^-3/2. D) -6 - 4X^-1/2. E) -6 - X^-3/2.

Name: If Y = 12 - 6X + 8X -1/2 ,then dY/dX is: A) -6 - 4X -3/2 . B) -4X -3/2 . C) 6 - 4X -3/2 . D) -6 - 4X -1/2 . E) -6 - X -3/2 .
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Question

Quizplus · Accepted Answer

To find the derivative of Y with respect to X, we take the derivative of each term separately and add them up: dY/dX = -6 + 8^{- 1/2(2}) Simplifying: dY/dX = -6 + 8^{- 1/2} dY/dX = -6 - 4X^{- 3/2} Therefore, the correct answer is A.

If Y = 12 - 6X + 8X -1/2,then DY/dX

If Y = 12 - 6X + 8X^-1/2,then DY/dX