Issolvi 5x^2+3x+6+7x^2-2x+3

$$5 { x }^{ 2 } +3x+6+7 { x }^{ 2 } -2x+3$$

Evalwa

$$12x^{2}+x+9$$

Passi tas-Soluzzjonijiet

Ikkombina 5x^{2} u 7x^{2} biex tikseb 12x^{2}.

$$12x^{2}+3x+6-2x+3$$

Ikkombina 3x u -2x biex tikseb x.

$$12x^{2}+x+6+3$$

Żid 6 u 3 biex tikseb 9.

$$12x^{2}+x+9$$

Iddifferenzja w.r.t. x

$$24x+1$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Ikkombina 5x^{2} u 7x^{2} biex tikseb 12x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{2}+3x+6-2x+3)$$

Ikkombina 3x u -2x biex tikseb x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{2}+x+6+3)$$

Żid 6 u 3 biex tikseb 9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{2}+x+9)$$

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}.

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

Immultiplika 2 b'12.

$$24x^{2-1}+x^{1-1}$$

Naqqas 1 minn 2.

$$24x^{1}+x^{1-1}$$

Naqqas 1 minn 1.

$$24x^{1}+x^{0}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$24x+x^{0}$$

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

$$24x+1$$