Datrys (3t^2-2t-1)+(4t^2-7t+6)

$$( 3 t ^ { 2 } - 2 t - 1 ) + ( 4 t ^ { 2 } - 7 t + 6 )$$

Enrhifo

$$7t^{2}-9t+5$$

Camau Ateb

Cyfuno 3t^{2} a 4t^{2} i gael 7t^{2}.

$$7t^{2}-2t-1-7t+6$$

Cyfuno -2t a -7t i gael -9t.

$$7t^{2}-9t-1+6$$

Adio -1 a 6 i gael 5.

$$7t^{2}-9t+5$$

Gwahaniaethu w.r.t. t

$$14t-9$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Swm

Cyfuno 3t^{2} a 4t^{2} i gael 7t^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}t}(7t^{2}-2t-1-7t+6)$$

Cyfuno -2t a -7t i gael -9t.

$$\frac{\mathrm{d}}{\mathrm{d}t}(7t^{2}-9t-1+6)$$

Adio -1 a 6 i gael 5.

$$\frac{\mathrm{d}}{\mathrm{d}t}(7t^{2}-9t+5)$$

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

$$2\times 7t^{2-1}-9t^{1-1}$$

Lluoswch 2 â 7.

$$14t^{2-1}-9t^{1-1}$$

Tynnu 1 o 2.

$$14t^{1}-9t^{1-1}$$

Tynnu 1 o 1.

$$14t^{1}-9t^{0}$$

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

$$14t-9t^{0}$$

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

$$14t-9$$