Issolvi (7s^2+9s)+(6s^3+3s^2+7s+5)

$$( 7 s ^ { 2 } + 9 s ) + ( 6 s ^ { 3 } + 3 s ^ { 2 } + 7 s + 5 )$$

Evalwa

$$6s^{3}+10s^{2}+16s+5$$

Passi tas-Soluzzjonijiet

Ikkombina 7s^{2} u 3s^{2} biex tikseb 10s^{2}.

$$10s^{2}+9s+6s^{3}+7s+5$$

Ikkombina 9s u 7s biex tikseb 16s.

$$10s^{2}+16s+6s^{3}+5$$

Iddifferenzja w.r.t. s

$$18s^{2}+20s+16$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Ikkombina 7s^{2} u 3s^{2} biex tikseb 10s^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}s}(10s^{2}+9s+6s^{3}+7s+5)$$

Ikkombina 9s u 7s biex tikseb 16s.

$$\frac{\mathrm{d}}{\mathrm{d}s}(10s^{2}+16s+6s^{3}+5)$$

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}.

$$2\times 10s^{2-1}+16s^{1-1}+3\times 6s^{3-1}$$

Immultiplika 2 b'10.

$$20s^{2-1}+16s^{1-1}+3\times 6s^{3-1}$$

Naqqas 1 minn 2.

$$20s^{1}+16s^{1-1}+3\times 6s^{3-1}$$

Naqqas 1 minn 1.

$$20s^{1}+16s^{0}+3\times 6s^{3-1}$$

Immultiplika 1 b'16.

$$20s^{1}+16s^{0}+18s^{3-1}$$

Naqqas 1 minn 3.

$$20s^{1}+16s^{0}+18s^{2}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$20s+16s^{0}+18s^{2}$$

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

$$20s+16\times 1+18s^{2}$$

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

$$20s+16+18s^{2}$$