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

Problemi Simili mit-Tiftix tal-Web

Sehem

\frac{\left(x^{1}+5\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1})-x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}+5)}{\left(x^{1}+5\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^{1}+5\right)x^{1-1}-x^{1}x^{1-1}}{\left(x^{1}+5\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^{1}+5\right)x^{0}-x^{1}x^{0}}{\left(x^{1}+5\right)^{2}}
Agħmel l-aritmetika.
\frac{x^{1}x^{0}+5x^{0}-x^{1}x^{0}}{\left(x^{1}+5\right)^{2}}
Espandi bl-użu ta' propjetà distributtiva.
\frac{x^{1}+5x^{0}-x^{1}}{\left(x^{1}+5\right)^{2}}
Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom.
\frac{\left(1-1\right)x^{1}+5x^{0}}{\left(x^{1}+5\right)^{2}}
Ikkombina termini simili.
\frac{5x^{0}}{\left(x^{1}+5\right)^{2}}
Naqqas 1 minn 1.
\frac{5x^{0}}{\left(x+5\right)^{2}}
Għal kwalunkwe terminu t, t^{1}=t.
\frac{5\times 1}{\left(x+5\right)^{2}}
Għal kwalunkwe terminu t ħlief 0, t^{0}=1.
\frac{5}{\left(x+5\right)^{2}}
Għal kwalunkwe terminu t, t\times 1=t u 1t=t.