Issolvi (4x^3+2x^2-11x+3)+(7x^3-5x^2-9x)

$$( 4 x ^ { 3 } + 2 x ^ { 2 } - 11 x + 3 ) + ( 7 x ^ { 3 } - 5 x ^ { 2 } - 9 x )$$

Evalwa

$$11x^{3}-3x^{2}-20x+3$$

Passi tas-Soluzzjonijiet

Ikkombina 4x^{3} u 7x^{3} biex tikseb 11x^{3}.

$$11x^{3}+2x^{2}-11x+3-5x^{2}-9x$$

Ikkombina 2x^{2} u -5x^{2} biex tikseb -3x^{2}.

$$11x^{3}-3x^{2}-11x+3-9x$$

Ikkombina -11x u -9x biex tikseb -20x.

$$11x^{3}-3x^{2}-20x+3$$

Iddifferenzja w.r.t. x

$$33x^{2}-6x-20$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Ikkombina 4x^{3} u 7x^{3} biex tikseb 11x^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x^{3}+2x^{2}-11x+3-5x^{2}-9x)$$

Ikkombina 2x^{2} u -5x^{2} biex tikseb -3x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x^{3}-3x^{2}-11x+3-9x)$$

Ikkombina -11x u -9x biex tikseb -20x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x^{3}-3x^{2}-20x+3)$$

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}.

$$3\times 11x^{3-1}+2\left(-3\right)x^{2-1}-20x^{1-1}$$

Immultiplika 3 b'11.

$$33x^{3-1}+2\left(-3\right)x^{2-1}-20x^{1-1}$$

Naqqas 1 minn 3.

$$33x^{2}+2\left(-3\right)x^{2-1}-20x^{1-1}$$

Immultiplika 2 b'-3.

$$33x^{2}-6x^{2-1}-20x^{1-1}$$

Naqqas 1 minn 2.

$$33x^{2}-6x^{1}-20x^{1-1}$$

Naqqas 1 minn 1.

$$33x^{2}-6x^{1}-20x^{0}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$33x^{2}-6x-20x^{0}$$

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

$$33x^{2}-6x-20$$