Aqbeż għall-kontenut ewlieni
Evalwa
Tick mark Image
Iddifferenzja w.r.t. x
Tick mark Image
Graff

Problemi Simili mit-Tiftix tal-Web

Sehem

\frac{x}{x\left(x+8\right)}
Iffattura l-espressjonijiet li mhumiex diġà fatturati.
\frac{1}{x+8}
Annulla x fin-numeratur u d-denominatur.
\frac{\left(x^{2}+8x^{1}\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1})-x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+8x^{1})}{\left(x^{2}+8x^{1}\right)^{2}}
Għal kwalunkwe żewġ funzjonijiet differenzjabbli, id-derivattiv tal-kwozjent ta' żewġ funzjonijiet huwa d-denominatur immultiplikat bid-derivattiv tan-numeratur minus in-numeratur immultiplikat bid-derivattiv tad-denominatur, kollha diviżi bid-denominatur kwadrat.
\frac{\left(x^{2}+8x^{1}\right)x^{1-1}-x^{1}\left(2x^{2-1}+8x^{1-1}\right)}{\left(x^{2}+8x^{1}\right)^{2}}
Id-derivattiva ta’ polynomial hija s-somma tad-derivattivi tat-termini tagħha. Id-derivattiva ta’ terminu kostanti hija 0. Id-derivattiva ta’ ax^{n} hijanax^{n-1}.
\frac{\left(x^{2}+8x^{1}\right)x^{0}-x^{1}\left(2x^{1}+8x^{0}\right)}{\left(x^{2}+8x^{1}\right)^{2}}
Issimplifika.
\frac{x^{2}x^{0}+8x^{1}x^{0}-x^{1}\left(2x^{1}+8x^{0}\right)}{\left(x^{2}+8x^{1}\right)^{2}}
Immultiplika x^{2}+8x^{1} b'x^{0}.
\frac{x^{2}x^{0}+8x^{1}x^{0}-\left(x^{1}\times 2x^{1}+x^{1}\times 8x^{0}\right)}{\left(x^{2}+8x^{1}\right)^{2}}
Immultiplika x^{1} b'2x^{1}+8x^{0}.
\frac{x^{2}+8x^{1}-\left(2x^{1+1}+8x^{1}\right)}{\left(x^{2}+8x^{1}\right)^{2}}
Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom.
\frac{x^{2}+8x^{1}-\left(2x^{2}+8x^{1}\right)}{\left(x^{2}+8x^{1}\right)^{2}}
Issimplifika.
\frac{-x^{2}}{\left(x^{2}+8x^{1}\right)^{2}}
Ikkombina termini simili.
\frac{-x^{2}}{\left(x^{2}+8x\right)^{2}}
Għal kwalunkwe terminu t, t^{1}=t.