Issolvi =(3x^2+x-12)+(4x^3-2x^2+7x+10)

$$= ( 3 x ^ { 2 } + x - 12 ) + ( 4 x ^ { 3 } - 2 x ^ { 2 } + 7 x + 10 )$$

Evalwa

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

Passi tas-Soluzzjonijiet

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

$$x^{2}+x-12+4x^{3}+7x+10$$

Ikkombina x u 7x biex tikseb 8x.

$$x^{2}+8x-12+4x^{3}+10$$

Żid -12 u 10 biex tikseb -2.

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

Iddifferenzja w.r.t. x

$$2\left(6x^{2}+x+4\right)$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+x-12+4x^{3}+7x+10)$$

Ikkombina x u 7x biex tikseb 8x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+8x-12+4x^{3}+10)$$

Żid -12 u 10 biex tikseb -2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+8x-2+4x^{3})$$

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}.

$$2x^{2-1}+8x^{1-1}+3\times 4x^{3-1}$$

Naqqas 1 minn 2.

$$2x^{1}+8x^{1-1}+3\times 4x^{3-1}$$

Naqqas 1 minn 1.

$$2x^{1}+8x^{0}+3\times 4x^{3-1}$$

Immultiplika 1 b'8.

$$2x^{1}+8x^{0}+12x^{3-1}$$

Naqqas 1 minn 3.

$$2x^{1}+8x^{0}+12x^{2}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$2x+8x^{0}+12x^{2}$$

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

$$2x+8\times 1+12x^{2}$$

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

$$2x+8+12x^{2}$$