Issolvi 6x^3+4+2x^2*15+x^2

$$6 { x }^{ 3 } +4+2 { x }^{ 2 } \times 15+ { x }^{ 2 }$$

Evalwa

$$6x^{3}+31x^{2}+4$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u 15 biex tikseb 30.

$$6x^{3}+4+30x^{2}+x^{2}$$

Ikkombina 30x^{2} u x^{2} biex tikseb 31x^{2}.

$$6x^{3}+4+31x^{2}$$

Iddifferenzja w.r.t. x

$$2x\left(9x+31\right)$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Immultiplika 2 u 15 biex tikseb 30.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{3}+4+30x^{2}+x^{2})$$

Ikkombina 30x^{2} u x^{2} biex tikseb 31x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{3}+4+31x^{2})$$

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}.

$$3\times 6x^{3-1}+2\times 31x^{2-1}$$

Immultiplika 3 b'6.

$$18x^{3-1}+2\times 31x^{2-1}$$

Naqqas 1 minn 3.

$$18x^{2}+2\times 31x^{2-1}$$

Immultiplika 2 b'31.

$$18x^{2}+62x^{2-1}$$

Naqqas 1 minn 2.

$$18x^{2}+62x^{1}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$18x^{2}+62x$$