Pertanyaan

Tentukan turunan fungsi f ( x ) menggunakan aturan f ( x ) = h → 0 lim h f ( x + h ) − f ( x ) f ( x ) = x 2 − 5

Tentukan turunan fungsi $f (x)$ menggunakan aturan

$f (x) = h \to 0 lim \frac{f ( x + h ) - f ( x )}{h}$
$f (x) = x^{2} - 5$

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

turunan fungsi adalah .

turunan fungsi f left parenthesis x right parenthesis equals x squared minus 5

adalah

Pembahasan

Turunan fungsi menggunakan aturan limit Jadi, turunan fungsi adalah .

Turunan fungsi f left parenthesis x right parenthesis equals x squared minus 5 menggunakan aturan limit

$table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell limit as h rightwards arrow 0 of fraction numerator open parentheses open parentheses x plus h close parentheses squared minus 5 close parentheses minus open parentheses x squared minus 5 close parentheses over denominator h end fraction end cell row blank equals cell limit as h rightwards arrow 0 of fraction numerator open parentheses x squared plus 2 x h plus h squared minus 5 close parentheses minus open parentheses x squared minus 5 close parentheses over denominator h end fraction end cell row blank equals cell limit as h rightwards arrow 0 of fraction numerator x squared plus 2 x h plus h squared minus 5 minus x squared plus 5 over denominator h end fraction end cell row blank equals cell limit as h rightwards arrow 0 of fraction numerator 2 x h plus h squared over denominator h end fraction end cell row blank equals cell limit as h rightwards arrow 0 of 2 x plus h end cell row blank equals cell 2 x plus 0 end cell row blank equals cell 2 x end cell end table$

Jadi, turunan fungsi f left parenthesis x right parenthesis equals x squared minus 5 adalah 2 x .