Pāngarau

pārōnaki

derivative

tūingoa

WHAKAMĀRAMA

E whakaatu ana te pārōnaki o tētahi pānga tahi i te pāpātanga o te whiti o te taurangi whakawhirinaki i runga anō i tōna taurangi wehe kē. Arā, ko te rōnaki o te kauwhata o taua pānga tahi i tētahi pūwāhi kotahi.

The derivative of a function determines the rate of change of the dependent variable (output variable) in respect of the independent variable (input variable). It is the slope of the graph of the function at a particular point.

Tauira KŌrero

Ko te 3x2 te pārōnaki o te x3.

He mea tono ngā ākonga kia tātaitia te pārōnaki i tētahi pūwāhi o te kauwhata.

Ko te pārōnaki tētahi o ngā kaupapa matua o roto i te peka pāngarau nei, o te tuanaki.

WhakamĀrama Āpitihanga

E whakaaturia ana te pānga y = x2 ki te kauwhata nei. He kauwhata unahi. Kua tuhia te pātapa ki te kauwhata i te pūwāhi (2,4).


Mā te pārōnaki o te pānga e whiriwhiria ai te rōnaki. Arā:

Nō reira, ko te rōnaki i te pūwāhi (2,4) e whakaaturia ana ki te kauwhata, ko te 2 x 2 = 4.

Mēnā ko te kauwhata y = x2 nei e whakaatu ana i te tawhiti o te rere o tētahi mea i te takanga o te wā, ko te rōnaki o te kauwhata (arā te pārōnaki) e tohu ana i te tere.

Tauira KŌrero

Ko te 3x2 te pārōnaki o te x3.

He mea tono ngā ākonga kia tātaitia te pārōnaki i tētahi pūwāhi o te kauwhata.

Ko te pārōnaki tētahi o ngā kaupapa matua o roto i te peka pāngarau nei, o te tuanaki.

WhakamĀrama Āpitihanga