Issolvi 16x^2/7:4x^3/21

$$\frac { 16 x ^ { 2 } } { 7 } : \frac { 4 x ^ { 3 } } { 21 }$$

Evalwa

$$\frac{12}{x}$$

Passi tas-Soluzzjonijiet

Iddividi \frac{16x^{2}}{7} b'\frac{4x^{3}}{21} billi timmultiplika \frac{16x^{2}}{7} bir-reċiproku ta' \frac{4x^{3}}{21}.

$$\frac{16x^{2}\times 21}{7\times 4x^{3}}$$

Annulla 4\times 7x^{2} fin-numeratur u d-denominatur.

$$\frac{3\times 4}{x}$$

Immultiplika 3 u 4 biex tikseb 12.

$$\frac{12}{x}$$

Iddifferenzja w.r.t. x

$$-\frac{12}{x^{2}}$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Iddividi \frac{16x^{2}}{7} b'\frac{4x^{3}}{21} billi timmultiplika \frac{16x^{2}}{7} bir-reċiproku ta' \frac{4x^{3}}{21}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{16x^{2}\times 21}{7\times 4x^{3}})$$

Annulla 4\times 7x^{2} fin-numeratur u d-denominatur.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3\times 4}{x})$$

Immultiplika 3 u 4 biex tikseb 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{x})$$

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

$$-12x^{-1-1}$$

Naqqas 1 minn -1.

$$-12x^{-2}$$