Datrys 8x^3+3x-1x^2-2x+38x^3-1

$$8 x ^ { 3 } + 3 x - 1 x ^ { 2 } - 2 x + 38 x ^ { 3 } - 1$$

Enrhifo

$$46x^{3}-x^{2}+x-1$$

Camau Ateb

Cyfuno 3x a -2x i gael x.

$$8x^{3}+x-x^{2}+38x^{3}-1$$

Cyfuno 8x^{3} a 38x^{3} i gael 46x^{3}.

$$46x^{3}+x-x^{2}-1$$

Gwahaniaethu w.r.t. x

$$138x^{2}-2x+1$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Swm

Cyfuno 3x a -2x i gael x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{3}+x-x^{2}+38x^{3}-1)$$

Cyfuno 8x^{3} a 38x^{3} i gael 46x^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(46x^{3}+x-x^{2}-1)$$

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

$$3\times 46x^{3-1}+x^{1-1}+2\left(-1\right)x^{2-1}$$

Lluoswch 3 â 46.

$$138x^{3-1}+x^{1-1}+2\left(-1\right)x^{2-1}$$

Tynnu 1 o 3.

$$138x^{2}+x^{1-1}+2\left(-1\right)x^{2-1}$$

Tynnu 1 o 1.

$$138x^{2}+x^{0}+2\left(-1\right)x^{2-1}$$

Lluoswch 1 â 1.

$$138x^{2}+x^{0}-2x^{2-1}$$

Tynnu 1 o 2.

$$138x^{2}+x^{0}-2x^{1}$$

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

$$138x^{2}+x^{0}-2x$$

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

$$138x^{2}+1-2x$$