Datrys n^2/n+1

$$\frac { n ^ { 2 } } { n + 1 }$$

Gwahaniaethu w.r.t. n

$$\frac{n\left(n+2\right)}{\left(n+1\right)^{2}}$$

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.

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

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

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

Gwneud y symiau.

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

Ehangu gan ddefnyddio’r briodwedd ddosbarthol.

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

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

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

Gwneud y symiau.

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

Cyfuno termau sydd yr un peth.

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

Tynnu 1 o 2.

$$\frac{n^{2}+2n^{1}}{\left(n^{1}+1\right)^{2}}$$

Ffactora allan n.

$$\frac{n\left(n^{1}+2n^{0}\right)}{\left(n^{1}+1\right)^{2}}$$

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

$$\frac{n\left(n+2n^{0}\right)}{\left(n+1\right)^{2}}$$

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

$$\frac{n\left(n+2\times 1\right)}{\left(n+1\right)^{2}}$$

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

$$\frac{n\left(n+2\right)}{\left(n+1\right)^{2}}$$

Enrhifo

$$\frac{n^{2}}{n+1}$$