Issolvi (3t^2-2t-1)+(4t^2-7t+6)

$$( 3 t ^ { 2 } - 2 t - 1 ) + ( 4 t ^ { 2 } - 7 t + 6 )$$

Evalwa

$$7t^{2}-9t+5$$

Passi tas-Soluzzjonijiet

Ikkombina 3t^{2} u 4t^{2} biex tikseb 7t^{2}.

$$7t^{2}-2t-1-7t+6$$

Ikkombina -2t u -7t biex tikseb -9t.

$$7t^{2}-9t-1+6$$

Żid -1 u 6 biex tikseb 5.

$$7t^{2}-9t+5$$

Iddifferenzja w.r.t. t

$$14t-9$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Ikkombina 3t^{2} u 4t^{2} biex tikseb 7t^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}t}(7t^{2}-2t-1-7t+6)$$

Ikkombina -2t u -7t biex tikseb -9t.

$$\frac{\mathrm{d}}{\mathrm{d}t}(7t^{2}-9t-1+6)$$

Żid -1 u 6 biex tikseb 5.

$$\frac{\mathrm{d}}{\mathrm{d}t}(7t^{2}-9t+5)$$

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}.

$$2\times 7t^{2-1}-9t^{1-1}$$

Immultiplika 2 b'7.

$$14t^{2-1}-9t^{1-1}$$

Naqqas 1 minn 2.

$$14t^{1}-9t^{1-1}$$

Naqqas 1 minn 1.

$$14t^{1}-9t^{0}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$14t-9t^{0}$$

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

$$14t-9$$