Issolvi 44r^2(55)^2(4)

$$44 r ^ { 2 } ( 55 ) ^ { 2 } ( 4 )$$

Evalwa

$$532400r^{2}$$

Passi tas-Soluzzjonijiet

Ikkalkula 55 bil-power ta' 2 u tikseb 3025.

$$44r^{2}\times 3025\times 4$$

Immultiplika 44 u 3025 biex tikseb 133100.

$$133100r^{2}\times 4$$

Immultiplika 133100 u 4 biex tikseb 532400.

$$532400r^{2}$$

Iddifferenzja w.r.t. r

$$1064800r$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Ikkalkula 55 bil-power ta' 2 u tikseb 3025.

$$\frac{\mathrm{d}}{\mathrm{d}r}(44r^{2}\times 3025\times 4)$$

Immultiplika 44 u 3025 biex tikseb 133100.

$$\frac{\mathrm{d}}{\mathrm{d}r}(133100r^{2}\times 4)$$

Immultiplika 133100 u 4 biex tikseb 532400.

$$\frac{\mathrm{d}}{\mathrm{d}r}(532400r^{2})$$

Id-derivattiv ta' ax^{n} huwa nax^{n-1}.

$$2\times 532400r^{2-1}$$

Immultiplika 2 b'532400.

$$1064800r^{2-1}$$

Naqqas 1 minn 2.

$$1064800r^{1}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$1064800r$$