Issolvi 2x^3-3x^2-36x+6

$$2 x ^ { 3 } - 3 x ^ { 2 } - 36 x + 6$$

Iddifferenzja w.r.t. x

$$6\left(x-3\right)\left(x+2\right)$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Id-derivattiv ta' polynomial huwa s-somma tad-derivattivi tat-termini tiegħu. Id-derivattiv ta' kwalunkwe terminu kostanti huwa 0. Id-derivattiv ta' ax^{n} huwa nax^{n-1}.

$$3\times 2x^{3-1}+2\left(-3\right)x^{2-1}-36x^{1-1}$$

Immultiplika 3 b'2.

$$6x^{3-1}+2\left(-3\right)x^{2-1}-36x^{1-1}$$

Naqqas 1 minn 3.

$$6x^{2}+2\left(-3\right)x^{2-1}-36x^{1-1}$$

Immultiplika 2 b'-3.

$$6x^{2}-6x^{2-1}-36x^{1-1}$$

Naqqas 1 minn 2.

$$6x^{2}-6x^{1}-36x^{1-1}$$

Naqqas 1 minn 1.

$$6x^{2}-6x^{1}-36x^{0}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$6x^{2}-6x-36x^{0}$$

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

$$6x^{2}-6x-36$$

Evalwa

$$2x^{3}-3x^{2}-36x+6$$