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f(x) = (4x + 1)/(x - 2). Find f'(x)

Quotient rule: (vu' - uv')/v^2

u = 4x + 1

u' = 4

v = x - 2

v' = 1

Input into formula:

[(x - 2)(4) - (4x + 1)(1)](x - 2)^2

Simplify:

[4x - 8 -4x - 1]/(x - 2)^2

= -9/(x - 2)^2

10 months ago

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