Turunan pertama dari f(x)=x−23x+5,x=2 adalah f'(x). Nilai f'(1) =....

Pertanyaan

Turunan pertama dari $f left parenthesis x right parenthesis equals fraction numerator 3 x plus 5 over denominator x minus 2 end fraction comma x not equal to 2$ adalah f'(x). Nilai f'(1) =....

-11
-6
-5
-3
17

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

Bentuk fungsi

$f left parenthesis x right parenthesis equals fraction numerator u left parenthesis x right parenthesis over denominator v left parenthesis x right parenthesis end fraction$

Memiliki turunan pertama yang berbentuk

$f apostrophe left parenthesis x right parenthesis equals fraction numerator u apostrophe left parenthesis x right parenthesis v left parenthesis x right parenthesis minus u left parenthesis x right parenthesis v apostrophe left parenthesis x right parenthesis over denominator v squared left parenthesis x right parenthesis end fraction$

Jika

$f left parenthesis x right parenthesis equals fraction numerator 3 x plus 5 over denominator x minus 2 end fraction$ maka

Maka

$f apostrophe left parenthesis x right parenthesis equals fraction numerator 3 left parenthesis x minus 2 right parenthesis minus 1 left parenthesis 3 x plus 5 right parenthesis over denominator left parenthesis x minus 2 right parenthesis squared end fraction f apostrophe left parenthesis 1 right parenthesis equals fraction numerator 3 left parenthesis 1 minus 2 right parenthesis minus 1 left parenthesis 3 left parenthesis 1 right parenthesis plus 5 right parenthesis over denominator left parenthesis 1 minus 2 right parenthesis squared end fraction f apostrophe left parenthesis 1 right parenthesis equals fraction numerator negative 3 minus 1 left parenthesis 8 right parenthesis over denominator left parenthesis negative 1 right parenthesis squared end fraction f apostrophe left parenthesis 1 right parenthesis equals negative 11$

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