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Diketahui dan f'(x) adalah turunan pertama dari f(...

Diketahui f left parenthesis x right parenthesis equals fraction numerator 2 x minus 5 over denominator 3 x minus 4 end fraction dan f'(x) adalah turunan pertama dari f(x). Nilai dari f'(1)=...

  1. -22

  2. -12

  3. -7

  4. 7

  5. 22

Jawaban:

f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction rightwards arrow 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 minus 5 over denominator 3 minus 4 end fraction f apostrophe left parenthesis x right parenthesis equals fraction numerator 2 left parenthesis negative 4 right parenthesis minus left parenthesis negative 5 right parenthesis left parenthesis 3 right parenthesis over denominator left parenthesis 3 x minus 4 right parenthesis squared end fraction equals space fraction numerator 7 over denominator left parenthesis 3 x minus 4 right parenthesis squared end fraction M a k a comma f apostrophe left parenthesis 1 right parenthesis equals fraction numerator 7 over denominator left parenthesis 3 left parenthesis 1 right parenthesis minus 4 right parenthesis squared end fraction equals fraction numerator 7 over denominator left parenthesis 3 minus 4 right parenthesis squared end fraction equals 7

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