Issolvi r^3-4r^2+3r-12^2

$$r ^ { 3 } - 4 r ^ { 2 } + 3 r - 12 ^ { 2 }$$

Iddifferenzja w.r.t. r

$$3r^{2}-8r+3$$

Passi għall-Użu ta' Regola Derivattiva għal Somma

Ikkalkula 12 bil-power ta' 2 u tikseb 144.

$$\frac{\mathrm{d}}{\mathrm{d}r}(r^{3}-4r^{2}+3r-144)$$

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}.

$$3r^{3-1}+2\left(-4\right)r^{2-1}+3r^{1-1}$$

Naqqas 1 minn 3.

$$3r^{2}+2\left(-4\right)r^{2-1}+3r^{1-1}$$

Immultiplika 2 b'-4.

$$3r^{2}-8r^{2-1}+3r^{1-1}$$

Naqqas 1 minn 2.

$$3r^{2}-8r^{1}+3r^{1-1}$$

Naqqas 1 minn 1.

$$3r^{2}-8r^{1}+3r^{0}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$3r^{2}-8r+3r^{0}$$

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

$$3r^{2}-8r+3\times 1$$

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

$$3r^{2}-8r+3$$

Evalwa

$$r^{3}-4r^{2}+3r-144$$

Passi tas-Soluzzjonijiet

Ikkalkula 12 bil-power ta' 2 u tikseb 144.

$$r^{3}-4r^{2}+3r-144$$