Datrys 2x^2*1/x^2+3x-10

$$2 x ^ { 2 } \cdot \frac { 1 } { x ^ { 2 } + 3 x - 10 }$$

Enrhifo

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

Camau Ateb

Mynegwch 2\times \frac{1}{x^{2}+3x-10} fel ffracsiwn unigol.

$$\frac{2}{x^{2}+3x-10}x^{2}$$

Mynegwch \frac{2}{x^{2}+3x-10}x^{2} fel ffracsiwn unigol.

$$\frac{2x^{2}}{x^{2}+3x-10}$$

Gwahaniaethu w.r.t. x

$$\frac{2x\left(3x-20\right)}{\left(\left(x-2\right)\left(x+5\right)\right)^{2}}$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Cyniferydd

Mynegwch 2\times \frac{1}{x^{2}+3x-10} fel ffracsiwn unigol.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{x^{2}+3x-10}x^{2})$$

Mynegwch \frac{2}{x^{2}+3x-10}x^{2} fel ffracsiwn unigol.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x^{2}}{x^{2}+3x-10})$$

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.

$$\frac{\left(x^{2}+3x^{1}-10\right)\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2})-2x^{2}\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+3x^{1}-10)}{\left(x^{2}+3x^{1}-10\right)^{2}}$$

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

$$\frac{\left(x^{2}+3x^{1}-10\right)\times 2\times 2x^{2-1}-2x^{2}\left(2x^{2-1}+3x^{1-1}\right)}{\left(x^{2}+3x^{1}-10\right)^{2}}$$

Symleiddio.

$$\frac{\left(x^{2}+3x^{1}-10\right)\times 4x^{1}-2x^{2}\left(2x^{1}+3x^{0}\right)}{\left(x^{2}+3x^{1}-10\right)^{2}}$$

Lluoswch x^{2}+3x^{1}-10 â 4x^{1}.

$$\frac{x^{2}\times 4x^{1}+3x^{1}\times 4x^{1}-10\times 4x^{1}-2x^{2}\left(2x^{1}+3x^{0}\right)}{\left(x^{2}+3x^{1}-10\right)^{2}}$$

Lluoswch 2x^{2} â 2x^{1}+3x^{0}.

$$\frac{x^{2}\times 4x^{1}+3x^{1}\times 4x^{1}-10\times 4x^{1}-\left(2x^{2}\times 2x^{1}+2x^{2}\times 3x^{0}\right)}{\left(x^{2}+3x^{1}-10\right)^{2}}$$

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

$$\frac{4x^{2+1}+3\times 4x^{1+1}-10\times 4x^{1}-\left(2\times 2x^{2+1}+2\times 3x^{2}\right)}{\left(x^{2}+3x^{1}-10\right)^{2}}$$

Symleiddio.

$$\frac{4x^{3}+12x^{2}-40x^{1}-\left(4x^{3}+6x^{2}\right)}{\left(x^{2}+3x^{1}-10\right)^{2}}$$

Cyfuno termau sydd yr un peth.

$$\frac{6x^{2}-40x^{1}}{\left(x^{2}+3x^{1}-10\right)^{2}}$$

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

$$\frac{6x^{2}-40x}{\left(x^{2}+3x-10\right)^{2}}$$