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\left(-x\right)\left(-5^{3}\right)\times 5^{3}+3\times 5-1
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.
\left(-x\right)\left(-125\right)\times 5^{3}+3\times 5-1
Tātaihia te 5 mā te pū o 3, kia riro ko 125.
\left(-x\right)\left(-125\right)\times 125+3\times 5-1
Tātaihia te 5 mā te pū o 3, kia riro ko 125.
\left(-x\right)\left(-15625\right)+3\times 5-1
Whakareatia te -125 ki te 125, ka -15625.
\left(-x\right)\left(-15625\right)+15-1
Whakareatia te 3 ki te 5, ka 15.
\left(-x\right)\left(-15625\right)+14
Tangohia te 1 i te 15, ka 14.
15625x+14
Whakareatia te -1 ki te -15625, ka 15625.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(-x\right)\left(-5^{3}\right)\times 5^{3}+3\times 5-1)
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(-x\right)\left(-125\right)\times 5^{3}+3\times 5-1)
Tātaihia te 5 mā te pū o 3, kia riro ko 125.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(-x\right)\left(-125\right)\times 125+3\times 5-1)
Tātaihia te 5 mā te pū o 3, kia riro ko 125.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(-x\right)\left(-15625\right)+3\times 5-1)
Whakareatia te -125 ki te 125, ka -15625.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(-x\right)\left(-15625\right)+15-1)
Whakareatia te 3 ki te 5, ka 15.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(-x\right)\left(-15625\right)+14)
Tangohia te 1 i te 15, ka 14.
\frac{\mathrm{d}}{\mathrm{d}x}(15625x+14)
Whakareatia te -1 ki te -15625, ka 15625.
15625x^{1-1}
Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.
15625x^{0}
Tango 1 mai i 1.
15625\times 1
Mō tētahi kupu t mahue te 0, t^{0}=1.
15625
Mō tētahi kupu t, t\times 1=t me 1t=t.