Issolvi {c}{8x^3-27-36x^2}{-54x}

$$\left. \begin{array} { c } { 8 x ^ { 3 } - 27 - 36 x ^ { 2 } } \\ { - 54 x } \end{array} \right.$$

Iddifferenzja w.r.t. x

$$24x^{2}-72x-54$$

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}.

$$3\times 8x^{3-1}+2\left(-36\right)x^{2-1}-54x^{1-1}$$

Immultiplika 3 b'8.

$$24x^{3-1}+2\left(-36\right)x^{2-1}-54x^{1-1}$$

Naqqas 1 minn 3.

$$24x^{2}+2\left(-36\right)x^{2-1}-54x^{1-1}$$

Immultiplika 2 b'-36.

$$24x^{2}-72x^{2-1}-54x^{1-1}$$

Naqqas 1 minn 2.

$$24x^{2}-72x^{1}-54x^{1-1}$$

Naqqas 1 minn 1.

$$24x^{2}-72x^{1}-54x^{0}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$24x^{2}-72x-54x^{0}$$

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

$$24x^{2}-72x-54$$

Evalwa

$$8x^{3}-36x^{2}-54x-27$$