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Turunan pertama dari begin mathsize 14px style straight h open parentheses straight x close parentheses equals straight x cubed plus 4 square root of straight x minus 10 end style adalah ….

  1. begin mathsize 14px style 3 straight x squared plus 2 square root of straight x end style

  2. begin mathsize 14px style 3 straight x squared minus 2 square root of straight x end style

  3. begin mathsize 14px style 3 straight x squared plus fraction numerator 2 over denominator square root of straight x end fraction plus 1 end style

  4. begin mathsize 14px style 3 straight x squared minus fraction numerator 2 over denominator square root of straight x end fraction end style

  5. begin mathsize 14px style 3 straight x squared plus fraction numerator 2 over denominator square root of straight x end fraction end style

M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Turunan pertama untuk bentuk undefined adalah undefined.

Sehingga pada bentuk

begin mathsize 14px style h left parenthesis straight x right parenthesis equals straight x blank cubed plus 4 square root of straight x minus 10 space space space space space space equals straight x blank cubed plus 4 straight x blank to the power of 1 half end exponent minus 10 end style   

diperoleh,
begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight h to the power of straight apostrophe left parenthesis straight x right parenthesis end cell equals cell 3 straight x to the power of 3 minus 1 end exponent plus 1 half left parenthesis 4 straight x to the power of 1 half minus 1 end exponent right parenthesis plus 0 end cell row blank equals cell 3 straight x squared plus 2 straight x to the power of negative 1 half end exponent end cell row blank equals cell 3 straight x squared plus 2 over straight x to the power of 1 half end exponent end cell row blank equals cell 3 straight x squared plus fraction numerator 2 over denominator square root of straight x end fraction end cell end table end style  

Jadi, jawaban yang tepat adalah E.

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