Réitigh -6d^2/2d-5

$$\frac { - 6 d ^ { 2 } } { 2 d - 5 }$$

Difreálaigh w.r.t. d

$$\frac{12d\left(5-d\right)}{\left(2d-5\right)^{2}}$$

Céimeanna ag Baint Úsáid as Riail na nDíorthach don Líon

Do dhá fheidhm indifreáilte ar bith, is ionann díorthach líon an dá fheidhme agus an t-ainmneoir méadaithe faoi dhíorthach an uimhreora lúide an t-uimhreoir méadaithe faoi dhíorthach an ainmneora, agus iad ar fad roinnte faoin ainmneoir cearnaithe.

$$\frac{\left(2d^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}d}(-6d^{2})-\left(-6d^{2}\frac{\mathrm{d}}{\mathrm{d}d}(2d^{1}-5)\right)}{\left(2d^{1}-5\right)^{2}}$$

Is ionann díorthach iltéarmaigh agus suim dhíorthaigh a théarmaí. Is ionann díorthach téarma thairisigh agus 0. Is ionann díorthach ax^{n} agus nax^{n-1}.

$$\frac{\left(2d^{1}-5\right)\times 2\left(-6\right)d^{2-1}-\left(-6d^{2}\times 2d^{1-1}\right)}{\left(2d^{1}-5\right)^{2}}$$

Déan an uimhríocht.

$$\frac{\left(2d^{1}-5\right)\left(-12\right)d^{1}-\left(-6d^{2}\times 2d^{0}\right)}{\left(2d^{1}-5\right)^{2}}$$

Fairsingigh ag baint úsáid as an airí dáileach.

$$\frac{2d^{1}\left(-12\right)d^{1}-5\left(-12\right)d^{1}-\left(-6d^{2}\times 2d^{0}\right)}{\left(2d^{1}-5\right)^{2}}$$

Chun cumhachtaí an bhoinn chéanna a mhéadú, suimigh a n-easpónaint.

$$\frac{2\left(-12\right)d^{1+1}-5\left(-12\right)d^{1}-\left(-6\times 2d^{2}\right)}{\left(2d^{1}-5\right)^{2}}$$

Déan an uimhríocht.

$$\frac{-24d^{2}+60d^{1}-\left(-12d^{2}\right)}{\left(2d^{1}-5\right)^{2}}$$

Cuir téarmaí cosúla le chéile.

$$\frac{\left(-24-\left(-12\right)\right)d^{2}+60d^{1}}{\left(2d^{1}-5\right)^{2}}$$

Dealaigh -12 ó -24.

$$\frac{-12d^{2}+60d^{1}}{\left(2d^{1}-5\right)^{2}}$$

Fág 12d as an áireamh.

$$\frac{12d\left(-d^{1}+5d^{0}\right)}{\left(2d^{1}-5\right)^{2}}$$

Do théarma ar bith t, t^{1}=t.

$$\frac{12d\left(-d+5d^{0}\right)}{\left(2d-5\right)^{2}}$$

Do théarma ar bith t ach amháin 0, t^{0}=1.

$$\frac{12d\left(-d+5\times 1\right)}{\left(2d-5\right)^{2}}$$

Do théarma ar bith t, t\times 1=t agus 1t=t.

$$\frac{12d\left(-d+5\right)}{\left(2d-5\right)^{2}}$$

Luacháil

$$-\frac{6d^{2}}{2d-5}$$