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

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

Evalwa

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

Passi tas-Soluzzjonijiet

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

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

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

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

Ikkombina -x u 4x biex tikseb 3x.

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

Ikkombina 2x^{2} u -5x^{2} biex tikseb -3x^{2}.

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

Iddifferenzja w.r.t. x

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

Passi għall-Użu ta' Regola Derivattiva għal Somma

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

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

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

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

Ikkombina -x u 4x biex tikseb 3x.

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

Ikkombina 2x^{2} u -5x^{2} biex tikseb -3x^{2}.

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

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}.

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

Immultiplika 2 b'-3.

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

Naqqas 1 minn 2.

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

Naqqas 1 minn 3.

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

Naqqas 1 minn 1.

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

Għal kwalunkwe terminu t, t^{1}=t.

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

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

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

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

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