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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{\frac{-6}{6x}})
Tuhia te 6\left(-\frac{1}{6x}\right) hei hautanga kotahi.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{\frac{-1}{x}})
Me whakakore tahi te 6 i te taurunga me te tauraro.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{-1})
Whakawehe 1 ki te \frac{-1}{x} mā te whakarea 1 ki te tau huripoki o \frac{-1}{x}.
\frac{\mathrm{d}}{\mathrm{d}x}(-x)
Ko te mea whakawehea ki te -1 ka hōmai i tōna kōaro.
-x^{1-1}
Ko te pārōnaki o ax^{n} ko nax^{n-1}.
-x^{0}
Tango 1 mai i 1.
-1
Mō tētahi kupu t mahue te 0, t^{0}=1.