Datrys 3x^3+8x-4x^5+6x+2+3

$$3 x ^ { 3 } + 8 x - 4 x ^ { 5 } + 6 x + 2 + 3$$

Enrhifo

$$5+14x+3x^{3}-4x^{5}$$

Camau Ateb

Cyfuno 8x a 6x i gael 14x.

$$3x^{3}+14x-4x^{5}+2+3$$

Adio 2 a 3 i gael 5.

$$3x^{3}+14x-4x^{5}+5$$

Gwahaniaethu w.r.t. x

$$14+9x^{2}-20x^{4}$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Swm

Cyfuno 8x a 6x i gael 14x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{3}+14x-4x^{5}+2+3)$$

Adio 2 a 3 i gael 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{3}+14x-4x^{5}+5)$$

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

$$3\times 3x^{3-1}+14x^{1-1}+5\left(-4\right)x^{5-1}$$

Lluoswch 3 â 3.

$$9x^{3-1}+14x^{1-1}+5\left(-4\right)x^{5-1}$$

Tynnu 1 o 3.

$$9x^{2}+14x^{1-1}+5\left(-4\right)x^{5-1}$$

Tynnu 1 o 1.

$$9x^{2}+14x^{0}+5\left(-4\right)x^{5-1}$$

Lluoswch 1 â 14.

$$9x^{2}+14x^{0}-20x^{5-1}$$

Tynnu 1 o 5.

$$9x^{2}+14x^{0}-20x^{4}$$

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

$$9x^{2}+14\times 1-20x^{4}$$

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

$$9x^{2}+14-20x^{4}$$