Datrys 3x^2/-x+1

$$\frac { 3 x ^ { 2 } } { - x + 1 }$$

Gwahaniaethu w.r.t. x

$$-\frac{3x\left(x-2\right)}{\left(x-1\right)^{2}}$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Cyniferydd

Ar gyfer unrhyw ddau ffwythiant y mae modd eu gwahaniaethu, deilliad cyniferydd dau ffwythiant yw’r enwadur wedi’i luosi â deilliad yr enwadur wedi’i dynnu o’r rhifiadur wedi’i luosi â deilliad yr enwadur, y cwbl wedi’i rannu â’r enwadur wedi'i sgwario.

$$\frac{\left(-x^{1}+1\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2})-3x^{2}\frac{\mathrm{d}}{\mathrm{d}x}(-x^{1}+1)}{\left(-x^{1}+1\right)^{2}}$$

Deilliad polynomaial yw swm deilliadau ei dermau. Deilliad term cyson yw 0. Y deilliad o ax^{n} yw nax^{n-1}.

$$\frac{\left(-x^{1}+1\right)\times 2\times 3x^{2-1}-3x^{2}\left(-1\right)x^{1-1}}{\left(-x^{1}+1\right)^{2}}$$

Gwneud y symiau.

$$\frac{\left(-x^{1}+1\right)\times 6x^{1}-3x^{2}\left(-1\right)x^{0}}{\left(-x^{1}+1\right)^{2}}$$

Ehangu gan ddefnyddio’r briodwedd ddosbarthol.

$$\frac{-x^{1}\times 6x^{1}+6x^{1}-3x^{2}\left(-1\right)x^{0}}{\left(-x^{1}+1\right)^{2}}$$

I luosi pwerau sy’n rhannu’r un sail, ychwanegwch eu hesbonyddion.

$$\frac{-6x^{1+1}+6x^{1}-3\left(-1\right)x^{2}}{\left(-x^{1}+1\right)^{2}}$$

Gwneud y symiau.

$$\frac{-6x^{2}+6x^{1}-\left(-3x^{2}\right)}{\left(-x^{1}+1\right)^{2}}$$

Cyfuno termau sydd yr un peth.

$$\frac{\left(-6-\left(-3\right)\right)x^{2}+6x^{1}}{\left(-x^{1}+1\right)^{2}}$$

Tynnu -3 o -6.

$$\frac{-3x^{2}+6x^{1}}{\left(-x^{1}+1\right)^{2}}$$

Ffactora allan 3x.

$$\frac{3x\left(-x^{1}+2x^{0}\right)}{\left(-x^{1}+1\right)^{2}}$$

Ar gyfer unrhyw derm t, t^{1}=t.

$$\frac{3x\left(-x+2x^{0}\right)}{\left(-x+1\right)^{2}}$$

Ar gyfer unrhyw derm t ac eithrio 0, t^{0}=1.

$$\frac{3x\left(-x+2\times 1\right)}{\left(-x+1\right)^{2}}$$

Ar gyfer unrhyw derm t, t\times 1=t a 1t=t.

$$\frac{3x\left(-x+2\right)}{\left(-x+1\right)^{2}}$$

Enrhifo

$$\frac{3x^{2}}{1-x}$$