Pertanyaan

Jika f ( x ) = x 2 + 4 maka h → 0 lim 2 1 h f ( x + h ) − f ( x ) = ...

Jika $f (x) = x^{2} + 4$ maka $h \to 0 lim \frac{f ( x + h ) - f ( x )}{\frac{1}{2} h} = ...$

$fraction numerator straight x over denominator square root of straight x squared plus 4 end root end fraction$
$fraction numerator 2 straight x over denominator square root of straight x squared plus 4 end root end fraction$
$fraction numerator straight x over denominator 2 square root of straight x squared plus 4 end root end fraction$
$fraction numerator 1 over denominator 4 straight x square root of straight x squared plus 4 end root end fraction$

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight h rightwards arrow 0 of space fraction numerator straight f open parentheses straight x plus apostrophe straight h close parentheses minus straight f open parentheses straight x close parentheses over denominator 1 half straight h end fraction end cell equals cell open parentheses limit as straight h rightwards arrow 0 of space fraction numerator straight f open parentheses straight x plus straight h close parentheses minus straight f open parentheses straight x close parentheses over denominator straight h end fraction close parentheses equals fraction numerator 1 over denominator begin display style 1 half end style end fraction end cell row blank equals cell straight f apostrophe open parentheses straight x close parentheses cross times 2 end cell row blank equals cell fraction numerator 2 straight x over denominator begin display style 2 square root of straight x squared plus 4 end root end style end fraction cross times 2 end cell row blank equals cell fraction numerator 2 straight x over denominator begin display style square root of straight x squared plus 4 end root end style end fraction end cell end table$