Issolvi 1/2|13|(6/k)

$$\frac { 1 } { 2 } | 13 | ( \frac { 6 } { k } )$$

Evalwa

$$\frac{39}{k}$$

Passi tas-Soluzzjonijiet

Il-valur assolut ta' numru reali a huwa a meta a\geq 0, jew -a meta a<0. Il-valur assolut ta' 13 huwa 13.

$$\frac{1}{2}\times 13\times \frac{6}{k}$$

Immultiplika \frac{1}{2} u 13 biex tikseb \frac{13}{2}.

$$\frac{13}{2}\times \frac{6}{k}$$

Immultiplika \frac{13}{2} b'\frac{6}{k} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{13\times 6}{2k}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{3\times 13}{k}$$

Immultiplika 3 u 13 biex tikseb 39.

$$\frac{39}{k}$$

Iddifferenzja w.r.t. k

$$-\frac{39}{k^{2}}$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Il-valur assolut ta' numru reali a huwa a meta a\geq 0, jew -a meta a<0. Il-valur assolut ta' 13 huwa 13.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{1}{2}\times 13\times \frac{6}{k})$$

Immultiplika \frac{1}{2} u 13 biex tikseb \frac{13}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{13}{2}\times \frac{6}{k})$$

Immultiplika \frac{13}{2} b'\frac{6}{k} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{13\times 6}{2k})$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{3\times 13}{k})$$

Immultiplika 3 u 13 biex tikseb 39.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{39}{k})$$

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

$$-39k^{-1-1}$$

Naqqas 1 minn -1.

$$-39k^{-2}$$