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Jika  dan , nilai  adalah ...

Jika begin mathsize 14px style f open parentheses x close parentheses equals straight a square root of x plus 2 x end style dan begin mathsize 14px style f apostrophe open parentheses 9 close parentheses equals 5 end style, nilai begin mathsize 14px style straight a end style adalah ... 

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  2. 18space 

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Jawaban:

begin mathsize 14px style f open parentheses x close parentheses equals straight a square root of x plus 2 x end style

Turunan dari begin mathsize 14px style f open parentheses x close parentheses end style 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 straight a square root of x plus 2 x end cell row cell f left parenthesis x right parenthesis end cell equals cell straight a left parenthesis x right parenthesis 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 straight a times 1 half times open parentheses x close parentheses to the power of negative 1 half end exponent plus 2 end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator straight a over denominator 2 square root of x end fraction plus 2 end cell end table end style 

 Karena begin mathsize 14px style f apostrophe open parentheses 9 close parentheses equals 5 end style, maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator straight a over denominator 2 square root of x end fraction plus 2 end cell row cell f apostrophe open parentheses 9 close parentheses end cell equals cell fraction numerator straight a over denominator 2 square root of 9 end fraction plus 2 end cell row 5 equals cell fraction numerator straight a over denominator 2 times 3 end fraction plus 2 end cell row 5 equals cell straight a over 6 plus 2 end cell row cell 5 minus 2 end cell equals cell straight a over 6 end cell row 3 equals cell straight a over 6 end cell row straight a equals 18 end table end style 

Jadi jawaban yang tepat adalah B.

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