Datrys (4x^3-3x^2+7x-2)+(x^3+7x^2-4x+5)

$$( 4 x ^ { 3 } - 3 x ^ { 2 } + 7 x - 2 ) + ( x ^ { 3 } + 7 x ^ { 2 } - 4 x + 5 )$$

Enrhifo

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

Camau Ateb

Cyfuno 4x^{3} a x^{3} i gael 5x^{3}.

$$5x^{3}-3x^{2}+7x-2+7x^{2}-4x+5$$

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

$$5x^{3}+4x^{2}+7x-2-4x+5$$

Cyfuno 7x a -4x i gael 3x.

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

Adio -2 a 5 i gael 3.

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

Gwahaniaethu w.r.t. x

$$15x^{2}+8x+3$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Swm

Cyfuno 4x^{3} a x^{3} i gael 5x^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}-3x^{2}+7x-2+7x^{2}-4x+5)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}+4x^{2}+7x-2-4x+5)$$

Cyfuno 7x a -4x i gael 3x.

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

Adio -2 a 5 i gael 3.

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

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

$$3\times 5x^{3-1}+2\times 4x^{2-1}+3x^{1-1}$$

Lluoswch 3 â 5.

$$15x^{3-1}+2\times 4x^{2-1}+3x^{1-1}$$

Tynnu 1 o 3.

$$15x^{2}+2\times 4x^{2-1}+3x^{1-1}$$

Lluoswch 2 â 4.

$$15x^{2}+8x^{2-1}+3x^{1-1}$$

Tynnu 1 o 2.

$$15x^{2}+8x^{1}+3x^{1-1}$$

Tynnu 1 o 1.

$$15x^{2}+8x^{1}+3x^{0}$$

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

$$15x^{2}+8x+3x^{0}$$

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

$$15x^{2}+8x+3\times 1$$

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

$$15x^{2}+8x+3$$