Pertanyaan

Carilah turunan ( d x df ) dari setiap fungsi berikut ini. e. f ( x ) = 5 π x 20

Carilah turunan $(\frac{df}{d x})$ dari setiap fungsi berikut ini.

e. $f (x) = \frac{π}{5} x^{20}$

H. Hermawan

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

turunan dari adalah .

turunan dari $f left parenthesis x right parenthesis equals fraction numerator straight pi over denominator square root of 5 end fraction x to the power of 20$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 20 straight pi over denominator square root of 5 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table to the power of 19$ .

Pembahasan

Dengan menggunakan konsep turunan, maka didapat: Jadi, turunan dari adalah .

Dengan menggunakan konsep turunan, maka didapat:

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank g end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table to the power of n table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator d g over denominator d x end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank n end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table to the power of n minus 1 end exponent table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator straight pi over denominator square root of 5 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table to the power of 20 table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator d f over denominator d x end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 20 straight pi over denominator square root of 5 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table to the power of table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of 19 end cell end table end exponent$

Jadi, turunan dari $f left parenthesis x right parenthesis equals fraction numerator straight pi over denominator square root of 5 end fraction x to the power of 20$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 20 straight pi over denominator square root of 5 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table to the power of 19$ .