Itu caranya gimana ya??
Matematika
kerahputihaomg
Pertanyaan
Itu caranya gimana ya??
1 Jawaban
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1. Jawaban whongaliem
f (x) = 3x²
[tex]f' (x) = \lim_{h \to \0} \frac{f (x + h) - f (x)}{h} [/tex]
[tex]= \lim_{h \to \ 0} \frac{3 (x + h)^{2} - 3 x^{2} }{h} [/tex]
[tex]= \frac{3 ( x^{2} + 2.x.h + h^{2}) - 3 x^{2} }{h} [/tex]
[tex]= \lim_{h \to \ 0} \frac{3 x^{2} + 6.x.h + h^{2} - 3 x^{2} }{h} [/tex]
[tex]= \lim_{h \to \ 0} \frac{6.x.h + h^{2} }{h} [/tex]
[tex]= \lim_{h \to \ 0} \frac{h (6x + h)}{h} [/tex]
= limit 6x + h
h⇒0
= 6x + 0
= 6x ...... jawaban : A