Find the derivative of f (x) = 6/x at x = - 2. select one: a. 6 b. 3/2 c. - 3/2 d. - 6

Question

Mathematics

Aaliyah Martin

11 December, 20:07

Find the derivative of f (x) = 6/x at x = - 2. select one: a. 6 b. 3/2 c. - 3/2 d. - 6

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Answers (1)

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Hailey Neal · Answer 1

F (X) = 6/X

F (X) = 6 • 1/X

F (X) = 6 • x^-1

F (X) = 6x^-1

F' (X) = 6 • d (x^-1) / dx

F' (X) = 6 • - 1x^-1-1

F' (X) = 6 • - 1x^-2

F' (X) = - 6x^-2

F' (X) = - 6/x^2

F' (-2) = - 6 / (-2) ^2

F' (-2) = - 6/4

F' (-2) = - 3/2

The solution would be C. - 3/2.