Issolvi 12/x^2+2x-2/x+6/x+2=

$$\frac { 12 } { x ^ { 2 } + 2 x } - \frac { 2 } { x } + \frac { 6 } { x + 2 } =$$

Evalwa

$$\frac{4}{x}$$

Passi Qosra tas-Soluzzjonijiet

Iffattura x^{2}+2x.

$$\frac{12}{x\left(x+2\right)}-\frac{2}{x}+\frac{6}{x+2}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(x+2\right) u x huwa x\left(x+2\right). Immultiplika \frac{2}{x} b'\frac{x+2}{x+2}.

$$\frac{12}{x\left(x+2\right)}-\frac{2\left(x+2\right)}{x\left(x+2\right)}+\frac{6}{x+2}$$

Billi \frac{12}{x\left(x+2\right)} u \frac{2\left(x+2\right)}{x\left(x+2\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{12-2\left(x+2\right)}{x\left(x+2\right)}+\frac{6}{x+2}$$

Agħmel il-multiplikazzjonijiet fi 12-2\left(x+2\right).

$$\frac{12-2x-4}{x\left(x+2\right)}+\frac{6}{x+2}$$

Ikkombina termini simili f'12-2x-4.

$$\frac{8-2x}{x\left(x+2\right)}+\frac{6}{x+2}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(x+2\right) u x+2 huwa x\left(x+2\right). Immultiplika \frac{6}{x+2} b'\frac{x}{x}.

$$\frac{8-2x}{x\left(x+2\right)}+\frac{6x}{x\left(x+2\right)}$$

Billi \frac{8-2x}{x\left(x+2\right)} u \frac{6x}{x\left(x+2\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{8-2x+6x}{x\left(x+2\right)}$$

Ikkombina termini simili f'8-2x+6x.

$$\frac{8+4x}{x\left(x+2\right)}$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{8+4x}{x\left(x+2\right)}.

$$\frac{4\left(x+2\right)}{x\left(x+2\right)}$$

Annulla x+2 fin-numeratur u d-denominatur.

$$\frac{4}{x}$$

Iddifferenzja w.r.t. x

$$-\frac{4}{x^{2}}$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Iffattura x^{2}+2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{x\left(x+2\right)}-\frac{2}{x}+\frac{6}{x+2})$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(x+2\right) u x huwa x\left(x+2\right). Immultiplika \frac{2}{x} b'\frac{x+2}{x+2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{x\left(x+2\right)}-\frac{2\left(x+2\right)}{x\left(x+2\right)}+\frac{6}{x+2})$$

Billi \frac{12}{x\left(x+2\right)} u \frac{2\left(x+2\right)}{x\left(x+2\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12-2\left(x+2\right)}{x\left(x+2\right)}+\frac{6}{x+2})$$

Agħmel il-multiplikazzjonijiet fi 12-2\left(x+2\right).

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12-2x-4}{x\left(x+2\right)}+\frac{6}{x+2})$$

Ikkombina termini simili f'12-2x-4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8-2x}{x\left(x+2\right)}+\frac{6}{x+2})$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x\left(x+2\right) u x+2 huwa x\left(x+2\right). Immultiplika \frac{6}{x+2} b'\frac{x}{x}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8-2x}{x\left(x+2\right)}+\frac{6x}{x\left(x+2\right)})$$

Billi \frac{8-2x}{x\left(x+2\right)} u \frac{6x}{x\left(x+2\right)} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8-2x+6x}{x\left(x+2\right)})$$

Ikkombina termini simili f'8-2x+6x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8+4x}{x\left(x+2\right)})$$

Iffattura l-espressjonijiet li mhumiex diġà fatturati f'\frac{8+4x}{x\left(x+2\right)}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\left(x+2\right)}{x\left(x+2\right)})$$

Annulla x+2 fin-numeratur u d-denominatur.

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

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

$$-4x^{-1-1}$$

Naqqas 1 minn -1.

$$-4x^{-2}$$