Pertanyaan

Jika diketahui d x d f ( x ) = 3 x dan f ( 4 ) = 19 , maka f ( 1 ) adalah ...

Jika diketahui $\frac{d f ( x )}{d x} = 3 x$ dan $f (4) = 19$ , maka $f (1)$ adalah ...

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Klaim

M. Nizar

Master Teacher

Mahasiswa/Alumni Universitas Siliwangi

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell integral fraction numerator d f left parenthesis x right parenthesis over denominator d x end fraction d x end cell row blank equals cell integral 3 square root of x space d x end cell row blank equals cell integral 3 left parenthesis x right parenthesis to the power of 1 half end exponent d x end cell row blank equals cell fraction numerator 3 over denominator begin display style 1 half end style plus 1 end fraction x to the power of 1 half plus 1 end exponent plus C end cell row blank equals cell 2 x to the power of 1 plus 1 half end exponent plus C end cell row blank equals cell 2 x space. space x to the power of 1 half end exponent end cell row blank equals cell 2 x square root of x plus C end cell row blank blank blank row cell f left parenthesis 4 right parenthesis end cell equals 19 row cell 2 left parenthesis 4 right parenthesis square root of 4 plus C end cell equals 19 row cell 16 plus C end cell equals 19 row C equals 3 row blank blank blank row cell f left parenthesis x right parenthesis end cell equals cell 2 x square root of x plus 3 end cell row cell f left parenthesis 1 right parenthesis end cell equals cell 2 left parenthesis 1 right parenthesis square root of 1 plus 3 end cell row blank equals 5 row blank blank blank row blank blank blank end table$