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\frac{4}{5}x\times \frac{3}{4}
Whakahekea te hautanga \frac{12}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.
\frac{4\times 3}{5\times 4}x
Me whakarea te \frac{4}{5} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{3}{5}x
Me whakakore tahi te 4 i te taurunga me te tauraro.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{5}x\times \frac{3}{4})
Whakahekea te hautanga \frac{12}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\times 3}{5\times 4}x)
Me whakarea te \frac{4}{5} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{5}x)
Me whakakore tahi te 4 i te taurunga me te tauraro.
\frac{3}{5}x^{1-1}
Ko te pārōnaki o ax^{n} ko nax^{n-1}.
\frac{3}{5}x^{0}
Tango 1 mai i 1.
\frac{3}{5}\times 1
Mō tētahi kupu t mahue te 0, t^{0}=1.
\frac{3}{5}
Mō tētahi kupu t, t\times 1=t me 1t=t.