Issolvi 4x+13-9x+1x^2+7x+1x^2

$$4 x + 13 - 9 x + 1 x ^ { 2 } + 7 x + 1 x ^ { 2 }$$

Evalwa

$$2x^{2}+2x+13$$

Passi tas-Soluzzjonijiet

Ikkombina 4x u -9x biex tikseb -5x.

$$-5x+13+1x^{2}+7x+1x^{2}$$

Ikkombina -5x u 7x biex tikseb 2x.

$$2x+13+1x^{2}+1x^{2}$$

Ikkombina 1x^{2} u 1x^{2} biex tikseb 2x^{2}.

$$2x+13+2x^{2}$$

Iddifferenzja w.r.t. x

$$4x+2$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Ikkombina 4x u -9x biex tikseb -5x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-5x+13+1x^{2}+7x+1x^{2})$$

Ikkombina -5x u 7x biex tikseb 2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x+13+1x^{2}+1x^{2})$$

Ikkombina 1x^{2} u 1x^{2} biex tikseb 2x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x+13+2x^{2})$$

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}.

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

Naqqas 1 minn 1.

$$2x^{0}+2\times 2x^{2-1}$$

Immultiplika 2 b'2.

$$2x^{0}+4x^{2-1}$$

Naqqas 1 minn 2.

$$2x^{0}+4x^{1}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$2x^{0}+4x$$

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

$$2\times 1+4x$$

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

$$2+4x$$