Dapatkan Kunci Jawaban Lainya. Disini

Jika, dan, ,tentukan rumus fungsi, .

apabila kita mengacu pertanyaan ini sering kali tidak menemukanya diinternet. Untuk itu admin menyediakan layanan menjawab pertanyaan dari buku sekolah secara ringkas dan tepat. Mulai dari sd smp sampai sma juga tersedia.

Karna banyak soal disekolah sulit untuk dijawab, teman teman semua bisa langsung mengecek kunci jawaban ini. Admin telah menyediakan dengan rangkuman berbagai sumber. Jangan berlama lagi mari simak dibawah ini ya.

PERTANYAAN :

Jika begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals integral left parenthesis 6 x plus 3 right parenthesis left parenthesis x squared plus x right parenthesis squared space d x end style dan begin mathsize 14px style f left parenthesis 1 right parenthesis equals 8 end style, tentukan rumus fungsi begin mathsize 14px style f left parenthesis x right parenthesis end style.

Jawaban

 rumus fungsi begin mathsize 14px style f left parenthesis x right parenthesis end style adalah table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell x to the power of 7 over 7 plus x to the power of 6 over 2 plus fraction numerator 3 x to the power of 5 over denominator 5 end fraction plus x to the power of 4 over 4 plus C x plus 6 comma 5 minus C end cell end table.


Diketahui begin mathsize 14px style f apostrophe left parenthesis x right parenthesis equals integral left parenthesis 6 x plus 3 right parenthesis left parenthesis x squared plus x right parenthesis squared space d x end style dan begin mathsize 14px style f left parenthesis 1 right parenthesis equals 8 end style. Misal u equals x squared plus x, maka diperoleh:

table attributes columnalign right center left columnspacing 0px end attributes row u equals cell x squared plus x end cell row cell fraction numerator d u over denominator d x end fraction end cell equals cell 2 x plus 1 end cell row cell d u end cell equals cell open parentheses 2 x plus 1 close parentheses d x end cell row cell d x end cell equals cell fraction numerator d u over denominator open parentheses 2 x plus 1 close parentheses end fraction end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell integral open parentheses 6 x plus 3 close parentheses open parentheses x squared plus x close parentheses squared d x end cell row blank equals cell integral 3 up diagonal strike open parentheses 2 x plus 1 close parentheses end strike u squared space fraction numerator d u over denominator up diagonal strike open parentheses 2 x plus 1 close parentheses end strike end fraction end cell row blank equals cell integral 3 u squared space d u end cell row blank equals cell fraction numerator 3 over denominator 2 plus 1 end fraction u to the power of 2 plus 1 end exponent plus C end cell row blank equals cell u cubed plus C end cell row blank equals cell open parentheses x squared plus x close parentheses cubed plus C end cell end table

Selanjutnya, misal nilai f open parentheses x close parentheses sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell integral open parentheses open parentheses x squared plus x close parentheses cubed plus C close parentheses d x end cell row blank equals cell integral open parentheses open parentheses x open parentheses x plus 1 close parentheses close parentheses cubed plus C close parentheses d x end cell row blank equals cell integral open parentheses x cubed open parentheses x plus 1 close parentheses cubed plus C close parentheses d x end cell row blank equals cell integral open parentheses x cubed open parentheses x cubed plus 3 x squared plus 3 x plus 1 close parentheses plus C close parentheses d x end cell row blank equals cell integral open parentheses x to the power of 6 plus 3 x to the power of 5 plus 3 x to the power of 4 plus x cubed plus C close parentheses d x end cell row blank equals cell x to the power of 7 over 7 plus x to the power of 6 over 2 plus fraction numerator 3 x to the power of 5 over denominator 5 end fraction plus x to the power of 4 over 4 plus C x plus D end cell end table

Kemudian, diketahui f open parentheses 1 close parentheses equals 8 sehingga diperoleh sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell x to the power of 7 over 7 plus x to the power of 6 over 2 plus fraction numerator 3 x to the power of 5 over denominator 5 end fraction plus x to the power of 4 over 4 plus C x plus D end cell row cell f open parentheses 1 close parentheses end cell equals cell 1 over 7 plus 1 half plus 3 over 5 plus 1 fourth plus C plus D end cell row 8 equals cell 0 comma 143 plus 0 comma 5 plus 0 comma 6 plus 0 comma 25 plus C plus D end cell row 8 equals cell 1 comma 493 plus C plus D end cell row cell C plus D end cell equals cell 6 comma 5 end cell row D equals cell 6 comma 5 minus C end cell end table

Berdasarkan nilai D di atas, diperoleh fungsi f open parentheses x close parentheses sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell x to the power of 7 over 7 plus x to the power of 6 over 2 plus fraction numerator 3 x to the power of 5 over denominator 5 end fraction plus x to the power of 4 over 4 plus C x plus D end cell row blank equals cell x to the power of 7 over 7 plus x to the power of 6 over 2 plus fraction numerator 3 x to the power of 5 over denominator 5 end fraction plus x to the power of 4 over 4 plus C x plus 6 comma 5 minus C end cell end table

Dengan demikian, rumus fungsi begin mathsize 14px style f left parenthesis x right parenthesis end style adalah table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell x to the power of 7 over 7 plus x to the power of 6 over 2 plus fraction numerator 3 x to the power of 5 over denominator 5 end fraction plus x to the power of 4 over 4 plus C x plus 6 comma 5 minus C end cell end table.


demikian kunci jawaban dan rangkuman yang telah zonamatematika.com gabung. semoga dapat nilai bagus dan bermanfaat untuk teman semua. nantikan jawaban lainya hanya di situs ini.

jika belum paham mengenai pembahasan soal ini bisa komentar. insyallah admin on akan segera membalasnya. Terimakasih Salam Sukses.

DISCLAIMER :

Orangtua dapat membantu mengoreksi kembali hasil kerja siswa jawaban diatas. kunci jawaban ini sebagai bahan referensi dan panduan belajar siswa di rumah.

Posting Komentar