Datrys x+2/x+1

$$x + \frac { 2 } { x + 1 }$$

Enrhifo

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

Camau Ateb Byr

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch x â \frac{x+1}{x+1}.

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

Gan fod gan \frac{x\left(x+1\right)}{x+1} a \frac{2}{x+1} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

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

Gwnewch y gwaith lluosi yn x\left(x+1\right)+2.

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

Gwahaniaethu w.r.t. x

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

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Cyniferydd

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch x â \frac{x+1}{x+1}.

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

Gan fod gan \frac{x\left(x+1\right)}{x+1} a \frac{2}{x+1} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

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

Gwnewch y gwaith lluosi yn x\left(x+1\right)+2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}+x+2}{x+1})$$

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.

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

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

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

Symleiddio.

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

Lluoswch x^{1}+1 â 2x^{1}+x^{0}.

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

Lluoswch x^{2}+x^{1}+2 â x^{0}.

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

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

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

Symleiddio.

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

Cyfuno termau sydd yr un peth.

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

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

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

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

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