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Turunan dari   adalah ....

Pertanyaan

Turunan dari begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator x square root of x plus 2 x squared over denominator x end fraction end style  adalah .... 

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  2. undefined 

Pembahasan Video:

Pembahasan Soal:

Fungsi berbentuk pangkat undefined turunannya dapat dicari dengan menggunakan rumus undefined. Oleh karena itu, turunan dari begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator x square root of x plus 2 x squared over denominator x end fraction end style dapat dicari sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell fraction numerator x square root of x plus 2 x squared over denominator x end fraction end cell row blank equals cell square root of x plus 2 x end cell row blank equals cell x to the power of 1 half end exponent plus 2 x end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 1 half times x to the power of 1 half minus 1 end exponent plus 1 times 2 x to the power of 1 minus 1 end exponent end cell row blank equals cell 1 half x to the power of 1 half minus 2 over 2 end exponent plus 2 x to the power of 0 end cell row blank equals cell 1 half x to the power of negative 1 half end exponent plus 2 times 1 end cell row blank equals cell 1 half times 1 over x to the power of begin display style 1 half end style end exponent plus 2 end cell row blank equals cell 1 half times fraction numerator 1 over denominator square root of x end fraction plus 2 end cell row cell space space space space space space space end cell equals cell fraction numerator 1 over denominator 2 square root of x end fraction plus 2 end cell end table end style

Dengan demikian, turunan dari begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator x square root of x plus 2 x squared over denominator x end fraction end style adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell f apostrophe left parenthesis x right parenthesis 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 1 over denominator 2 square root of x end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 05 Mei 2021

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