Issolvi x^3-5x^2+3x+14

$$x ^ { 3 } - 5 x ^ { 2 } + 3 x + 14$$

Iddifferenzja w.r.t. x

$$\left(x-3\right)\left(3x-1\right)$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

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}.

$$3x^{3-1}+2\left(-5\right)x^{2-1}+3x^{1-1}$$

Naqqas 1 minn 3.

$$3x^{2}+2\left(-5\right)x^{2-1}+3x^{1-1}$$

Immultiplika 2 b'-5.

$$3x^{2}-10x^{2-1}+3x^{1-1}$$

Naqqas 1 minn 2.

$$3x^{2}-10x^{1}+3x^{1-1}$$

Naqqas 1 minn 1.

$$3x^{2}-10x^{1}+3x^{0}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$3x^{2}-10x+3x^{0}$$

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

$$3x^{2}-10x+3\times 1$$

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

$$3x^{2}-10x+3$$

Evalwa

$$x^{3}-5x^{2}+3x+14$$