Turunan Aturan Fungsi Identitas


Sifat 1.

Jika f(x) = x maka f'(x) = 1 yakni Dx(x) = 1

Bukti.

f'(x) = \lim \sb{h \to 0} \dfrac{f(x+h) - f(x)}{h}

     = \lim \sb{h \to 0} \dfrac{x + h - x}{h}

     = \lim \sb{h \to 0} \dfrac{h}{h} = 1 \blacksquare

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