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Diketahui f(m)=2m23​−2m21​. Nilai f (1)=....

Pertanyaan

Diketahui begin mathsize 14px style f open parentheses m close parentheses equals 2 m to the power of 3 over 2 end exponent minus 2 m to the power of 1 half end exponent end style. Nilai begin mathsize 14px style f apostrophe open parentheses 1 close parentheses equals.... end style 

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

nilai begin mathsize 14px style f apostrophe left parenthesis 1 right parenthesis equals 2 end style.

Pembahasan

Menentukan turunan pertama dari fungsi tersebut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe left parenthesis m right parenthesis end cell equals cell 3 over 2 times 2 m to the power of 3 over 2 minus 1 end exponent minus 1 half times 2 m to the power of 1 half minus 1 end exponent end cell row blank equals cell 3 m to the power of 1 half end exponent minus m to the power of negative 1 half end exponent end cell row blank blank blank end table end style 

Menentukan nilai begin mathsize 14px style f apostrophe left parenthesis 1 right parenthesis end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe left parenthesis 1 right parenthesis end cell equals cell 3 open parentheses 1 close parentheses to the power of 1 half end exponent minus open parentheses 1 close parentheses to the power of negative 1 half end exponent end cell row blank equals cell 3 times 1 minus 1 end cell row blank equals 2 end table end style 

Jadi, nilai begin mathsize 14px style f apostrophe left parenthesis 1 right parenthesis equals 2 end style.

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