Pāngarau

whiriwhiri pārōnaki ~a

differentiate (a function)

tūmahi poro

WHAKAMĀRAMA

Ko te kimi i te pārōnaki o tētahi pānga, arā, te pāpātanga o te whiti o te pānga kei waenganui i ētahi taurangi e rua.

To find the derivative of a function, the rate of change in the relationship between two variables.

Tauira KŌrero

Mā te whiriwhiri pārōnaki e kitea ai te pāpātanga o te whiti.

Whiriwhiria te pārōnaki o te p(x) = x2.

He wāhanga nui te whiriwhiri pārōnaki nō te tuanaki.

WhakamĀrama Āpitihanga

Ka whiriwhiria ana tētahi pārōnaki, kei te tātaihia te tere o te huringa o tētahi putanga i runga anō i te āhua o te huringa o tētahi whāurunga. Arā, ko te pāpātanga o te whiti o te pānga. Nō reira, mēnā ko te p(x) hei tohu i te pānga, ko tā te whiriwhiri pārōnaki, he tātai i:

Hei tauira mō te whiriwhiri i te pārōnaki o te p(x) = x2:

Nō reira, i te pūwāhi x =3 o te pānga y = x2, ko te 6 (3 x 2) te pāpātanga o te whiti, ko te 6 hoki te rōnaki o te kauwhata i taua pūwāhi rā:

Takenga Mai

whiriwhiri - work out

pārōnaki - derivative

Tauira KŌrero

Mā te whiriwhiri pārōnaki e kitea ai te pāpātanga o te whiti.

Whiriwhiria te pārōnaki o te p(x) = x2.

He wāhanga nui te whiriwhiri pārōnaki nō te tuanaki.

WhakamĀrama Āpitihanga