Tolong dibantujika f(x) = x/x-1 ; x tidak sama dengan 1, maka f'(x) = …​

Jawaban:

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rumus turunan pecahan

f(x) = u/v

f'(x) = (u'.v – u.v')/(v)^2

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f(x) = x/(x – 1)

u = x

v = x – 1

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f'(x) = ?

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cari nilai u' dan v'

u = x , u' = 1

v = x – 1 , v' = 1

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maka f'(x)

f'(x)

= (u'.v – u.v')/(v)^2

= (1.(x – 1) – x(1))/(x – 1)^2

= ((x-1) – x)/(x – 1)^2

= (x – 1 – x)/(x – 1)^2

= -1/(x – 1)^2