Issolvi 2r+2r^2+rr+1

$$2 r + 2 r ^ { 2 } + r r + 1$$

Evalwa

$$3r^{2}+2r+1$$

Passi tas-Soluzzjonijiet

Immultiplika r u r biex tikseb r^{2}.

$$2r+2r^{2}+r^{2}+1$$

Ikkombina 2r^{2} u r^{2} biex tikseb 3r^{2}.

$$2r+3r^{2}+1$$

Iddifferenzja w.r.t. r

$$6r+2$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Immultiplika r u r biex tikseb r^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}r}(2r+2r^{2}+r^{2}+1)$$

Ikkombina 2r^{2} u r^{2} biex tikseb 3r^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}r}(2r+3r^{2}+1)$$

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}.

$$2r^{1-1}+2\times 3r^{2-1}$$

Naqqas 1 minn 1.

$$2r^{0}+2\times 3r^{2-1}$$

Immultiplika 2 b'3.

$$2r^{0}+6r^{2-1}$$

Naqqas 1 minn 2.

$$2r^{0}+6r^{1}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$2r^{0}+6r$$

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

$$2\times 1+6r$$

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

$$2+6r$$