Pertanyaan

Turunan pertama dari f ( x ) = − x + 1 2 x + 3 , x  = 1 adalah f'(x), maka nilai f'(2)=...

Turunan pertama dari $f (x) = \frac{2 x + 3}{- x + 1}, x \neq = 1$ adalah f'(x), maka nilai f'(2)=...

7
5
1
-2
-5

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Jawaban terverifikasi

Pembahasan

$f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction rightwards arrow space f apostrophe left parenthesis x right parenthesis equals fraction numerator a d minus b c over denominator left parenthesis c x plus d right parenthesis squared end fraction f left parenthesis x right parenthesis equals fraction numerator 2 x plus 3 over denominator negative x plus 1 end fraction M a k a f apostrophe left parenthesis x right parenthesis equals fraction numerator 2 left parenthesis 1 right parenthesis minus left parenthesis 3 right parenthesis left parenthesis negative 1 right parenthesis over denominator left parenthesis negative x plus 1 right parenthesis squared end fraction f apostrophe left parenthesis x right parenthesis equals fraction numerator 5 over denominator left parenthesis negative x plus 1 right parenthesis squared end fraction f apostrophe left parenthesis 2 right parenthesis equals fraction numerator 5 over denominator left parenthesis negative 2 plus 1 right parenthesis squared end fraction f apostrophe left parenthesis 2 right parenthesis equals 5$