Issolvi x^3+1x^3+x^2+x+1x^2+x+1

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

Evalwa

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

Passi tas-Soluzzjonijiet

Ikkombina x^{3} u 1x^{3} biex tikseb 2x^{3}.

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

Ikkombina x^{2} u 1x^{2} biex tikseb 2x^{2}.

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

Ikkombina x u x biex tikseb 2x.

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

Iddifferenzja w.r.t. x

$$6x^{2}+4x+2$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Ikkombina x^{3} u 1x^{3} biex tikseb 2x^{3}.

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

Ikkombina x^{2} u 1x^{2} biex tikseb 2x^{2}.

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

Ikkombina x u x biex tikseb 2x.

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

Id-derivattiva ta’ polynomial hija s-somma tad-derivattivi tat-termini tagħha. Id-derivattiva ta’ terminu kostanti hija 0. Id-derivattiva ta’ ax^{n} hijanax^{n-1}.

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

Immultiplika 3 b'2.

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

Naqqas 1 minn 3.

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

Immultiplika 2 b'2.

$$6x^{2}+4x^{2-1}+2x^{1-1}$$

Naqqas 1 minn 2.

$$6x^{2}+4x^{1}+2x^{1-1}$$

Naqqas 1 minn 1.

$$6x^{2}+4x^{1}+2x^{0}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$6x^{2}+4x+2x^{0}$$

Għal kwalunkwe terminu t ħlief 0, t^{0}=1.

$$6x^{2}+4x+2\times 1$$

Għal kwalunkwe terminu t, t\times 1=t u 1t=t.

$$6x^{2}+4x+2$$