Datrys 2x^{2}-x^3+3x^3-x-x^3+4x+3-5x^2=

$$2 x ^ { 2 } - x ^ { 3 } + 3 x ^ { 3 } - x - x ^ { 3 } + 4 x + 3 - 5 x ^ { 2 } =$$

Enrhifo

$$x^{3}-3x^{2}+3x+3$$

Camau Ateb

Cyfuno -x^{3} a 3x^{3} i gael 2x^{3}.

$$2x^{2}+2x^{3}-x-x^{3}+4x+3-5x^{2}$$

Cyfuno 2x^{3} a -x^{3} i gael x^{3}.

$$2x^{2}+x^{3}-x+4x+3-5x^{2}$$

Cyfuno -x a 4x i gael 3x.

$$2x^{2}+x^{3}+3x+3-5x^{2}$$

Cyfuno 2x^{2} a -5x^{2} i gael -3x^{2}.

$$-3x^{2}+x^{3}+3x+3$$

Gwahaniaethu w.r.t. x

$$3\left(x-1\right)^{2}$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Swm

Cyfuno -x^{3} a 3x^{3} i gael 2x^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}+2x^{3}-x-x^{3}+4x+3-5x^{2})$$

Cyfuno 2x^{3} a -x^{3} i gael x^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}+x^{3}-x+4x+3-5x^{2})$$

Cyfuno -x a 4x i gael 3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}+x^{3}+3x+3-5x^{2})$$

Cyfuno 2x^{2} a -5x^{2} i gael -3x^{2}.

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

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

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

Lluoswch 2 â -3.

$$-6x^{2-1}+3x^{3-1}+3x^{1-1}$$

Tynnu 1 o 2.

$$-6x^{1}+3x^{3-1}+3x^{1-1}$$

Tynnu 1 o 3.

$$-6x^{1}+3x^{2}+3x^{1-1}$$

Tynnu 1 o 1.

$$-6x^{1}+3x^{2}+3x^{0}$$

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

$$-6x+3x^{2}+3x^{0}$$

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

$$-6x+3x^{2}+3\times 1$$

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

$$-6x+3x^{2}+3$$