Issolvi f(x)=3x/x-5 | Microsoft Math Solver

Iddifferenzja w.r.t. x

Evalwa

Graff

Kwizz

Polynomial

5 problemi simili għal:

Problemi Simili mit-Tiftix tal-Web

https://socratic.org/questions/how-do-you-find-the-asymptotes-for-f-x-3x-x-8

https://socratic.org/questions/how-do-you-find-the-asymptotes-for-f-x-x-5-x-3

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Sehem

Ikkupjat fuq il-klibbord

\frac{\left(x^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{1})-3x^{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)\times 3x^{1-1}-3x^{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)\times 3x^{0}-3x^{1}x^{0}}{\left(x^{1}-5\right)^{2}}

Agħmel l-aritmetika.

\frac{x^{1}\times 3x^{0}-5\times 3x^{0}-3x^{1}x^{0}}{\left(x^{1}-5\right)^{2}}

Espandi bl-użu ta' propjetà distributtiva.

\frac{3x^{1}-5\times 3x^{0}-3x^{1}}{\left(x^{1}-5\right)^{2}}

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom.

\frac{3x^{1}-15x^{0}-3x^{1}}{\left(x^{1}-5\right)^{2}}

Agħmel l-aritmetika.

\frac{\left(3-3\right)x^{1}-15x^{0}}{\left(x^{1}-5\right)^{2}}

Ikkombina termini simili.

\frac{-15x^{0}}{\left(x^{1}-5\right)^{2}}

Naqqas 3 minn 3.