Datrys (8h^3+2h^2+3h+5)+(h^3+7h)

$$( 8 h ^ { 3 } + 2 h ^ { 2 } + 3 h + 5 ) + ( h ^ { 3 } + 7 h )$$

Enrhifo

$$9h^{3}+2h^{2}+10h+5$$

Camau Ateb

Cyfuno 8h^{3} a h^{3} i gael 9h^{3}.

$$9h^{3}+2h^{2}+3h+5+7h$$

Cyfuno 3h a 7h i gael 10h.

$$9h^{3}+2h^{2}+10h+5$$

Gwahaniaethu w.r.t. h

$$27h^{2}+4h+10$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Swm

Cyfuno 8h^{3} a h^{3} i gael 9h^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}h}(9h^{3}+2h^{2}+3h+5+7h)$$

Cyfuno 3h a 7h i gael 10h.

$$\frac{\mathrm{d}}{\mathrm{d}h}(9h^{3}+2h^{2}+10h+5)$$

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

$$3\times 9h^{3-1}+2\times 2h^{2-1}+10h^{1-1}$$

Lluoswch 3 â 9.

$$27h^{3-1}+2\times 2h^{2-1}+10h^{1-1}$$

Tynnu 1 o 3.

$$27h^{2}+2\times 2h^{2-1}+10h^{1-1}$$

Lluoswch 2 â 2.

$$27h^{2}+4h^{2-1}+10h^{1-1}$$

Tynnu 1 o 2.

$$27h^{2}+4h^{1}+10h^{1-1}$$

Tynnu 1 o 1.

$$27h^{2}+4h^{1}+10h^{0}$$

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

$$27h^{2}+4h+10h^{0}$$

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

$$27h^{2}+4h+10\times 1$$

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

$$27h^{2}+4h+10$$