Issolvi 3n/4*(2)n/6

$$\frac { 3 n } { 4 } \cdot ( 2 ) \frac { n } { 6 }$$

Evalwa

$$\frac{n^{2}}{4}$$

Passi tas-Soluzzjonijiet

Ikkanċella l-akbar fattur komuni 4 f'2 u 4.

$$\frac{3n}{2}\times \frac{n}{6}$$

Immultiplika \frac{3n}{2} b'\frac{n}{6} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{3nn}{2\times 6}$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{nn}{2\times 2}$$

Immultiplika n u n biex tikseb n^{2}.

$$\frac{n^{2}}{2\times 2}$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{n^{2}}{4}$$

Iddifferenzja w.r.t. n

$$\frac{n}{2}$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Ikkanċella l-akbar fattur komuni 4 f'2 u 4.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{3n}{2}\times \frac{n}{6})$$

Immultiplika \frac{3n}{2} b'\frac{n}{6} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{3nn}{2\times 6})$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{nn}{2\times 2})$$

Immultiplika n u n biex tikseb n^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{n^{2}}{2\times 2})$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{n^{2}}{4})$$

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

$$2\times \frac{1}{4}n^{2-1}$$

Immultiplika 2 b'\frac{1}{4}.

$$\frac{1}{2}n^{2-1}$$

Naqqas 1 minn 2.

$$\frac{1}{2}n^{1}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$\frac{1}{2}n$$