Issolvi (7x^3-2)+(5x^3-x-3)

$$(7 { x }^{ 3 } -2)+(5 { x }^{ 3 } -x-3)$$

Evalwa

$$12x^{3}-x-5$$

Passi tas-Soluzzjonijiet

Ikkombina 7x^{3} u 5x^{3} biex tikseb 12x^{3}.

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

Naqqas 3 minn -2 biex tikseb -5.

$$12x^{3}-5-x$$

Iddifferenzja w.r.t. x

$$36x^{2}-1$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Ikkombina 7x^{3} u 5x^{3} biex tikseb 12x^{3}.

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

Naqqas 3 minn -2 biex tikseb -5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{3}-5-x)$$

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}.

$$3\times 12x^{3-1}-x^{1-1}$$

Immultiplika 3 b'12.

$$36x^{3-1}-x^{1-1}$$

Naqqas 1 minn 3.

$$36x^{2}-x^{1-1}$$

Naqqas 1 minn 1.

$$36x^{2}-x^{0}$$

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

$$36x^{2}-1$$