Whakaoti i te -3x^{2}y:(-3xy)-[x^{2}-(x^{2}-1)-xy-1]*[2x^{2}-2x-(-4x^{4}y^2):(-2x^2y^2)]+2x^2y

$$- 3 x ^ { 2 } y : ( - 3 x y ) - [ x ^ { 2 } - ( x ^ { 2 } - 1 ) - x y - 1 ] \cdot [ 2 x ^ { 2 } - 2 x - ( - 4 x ^ { 4 } y ^ { 2 } ) : ( - 2 x ^ { 2 } y ^ { 2 } ) ] + 2 x ^ { 2 } y$$

Aromātai

$$x$$

Ngā Upane Otinga

Me whakakore tahi te -3xy i te taurunga me te tauraro.

$$x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-\frac{-4x^{4}y^{2}}{-2x^{2}y^{2}}\right)+2x^{2}y$$

Me whakakore tahi te 2x^{2}y^{2} i te taurunga me te tauraro.

$$x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-\frac{-2x^{2}}{-1}\right)+2x^{2}y$$

Ko te mea whakawehea ki te -1 ka hōmai i tōna kōaro.

$$x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-2x^{2}\right)+2x^{2}y$$

Tangohia te 2x^{2} i te 2x^{2}, ka 0.

$$x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(-2\right)x+2x^{2}y$$

Hei kimi i te tauaro o x^{2}-1, kimihia te tauaro o ia taurangi.

$$x-\left(x^{2}-x^{2}+1-xy-1\right)\left(-2\right)x+2x^{2}y$$

Pahekotia te x^{2} me -x^{2}, ka 0.

$$x-\left(1-xy-1\right)\left(-2\right)x+2x^{2}y$$

Tangohia te 1 i te 1, ka 0.

$$x-\left(-xy\left(-2\right)x\right)+2x^{2}y$$

Whakareatia te -1 ki te -2, ka 2.

$$x-2xyx+2x^{2}y$$

Whakareatia te x ki te x, ka x^{2}.

$$x-2x^{2}y+2x^{2}y$$

Pahekotia te -2x^{2}y me 2x^{2}y, ka 0.

$$x$$

Kimi Pārōnaki e ai ki x

$$1$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Me whakakore tahi te -3xy i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-\frac{-4x^{4}y^{2}}{-2x^{2}y^{2}}\right)+2x^{2}y)$$

Me whakakore tahi te 2x^{2}y^{2} i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-\frac{-2x^{2}}{-1}\right)+2x^{2}y)$$

Ko te mea whakawehea ki te -1 ka hōmai i tōna kōaro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-2x^{2}\right)+2x^{2}y)$$

Tangohia te 2x^{2} i te 2x^{2}, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(-2\right)x+2x^{2}y)$$

Hei kimi i te tauaro o x^{2}-1, kimihia te tauaro o ia taurangi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(x^{2}-x^{2}+1-xy-1\right)\left(-2\right)x+2x^{2}y)$$

Pahekotia te x^{2} me -x^{2}, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(1-xy-1\right)\left(-2\right)x+2x^{2}y)$$

Tangohia te 1 i te 1, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(-xy\left(-2\right)x\right)+2x^{2}y)$$

Whakareatia te -1 ki te -2, ka 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-2xyx+2x^{2}y)$$

Whakareatia te x ki te x, ka x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-2x^{2}y+2x^{2}y)$$

Pahekotia te -2x^{2}y me 2x^{2}y, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$x^{1-1}$$

Tango 1 mai i 1.

$$x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$1$$