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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\times 16}{3x-6})
2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.
\frac{\left(3x^{1}-6\right)\frac{\mathrm{d}}{\mathrm{d}x}(16x^{1})-16x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(3x^{1}-6)}{\left(3x^{1}-6\right)^{2}}
Har qanday ikki differensial funksiya uchun ikki funksiyaning koeffitsient hosilasi raqamlagichning hosila marotabasi maxraj minusi va barchasi kvadrat maxrajiga bo'lingan.
\frac{\left(3x^{1}-6\right)\times 16x^{1-1}-16x^{1}\times 3x^{1-1}}{\left(3x^{1}-6\right)^{2}}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
\frac{\left(3x^{1}-6\right)\times 16x^{0}-16x^{1}\times 3x^{0}}{\left(3x^{1}-6\right)^{2}}
Arifmetik hisobni amalga oshirish.
\frac{3x^{1}\times 16x^{0}-6\times 16x^{0}-16x^{1}\times 3x^{0}}{\left(3x^{1}-6\right)^{2}}
Distributiv xususiyatdan foydalanib kengaytirish.
\frac{3\times 16x^{1}-6\times 16x^{0}-16\times 3x^{1}}{\left(3x^{1}-6\right)^{2}}
Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.
\frac{48x^{1}-96x^{0}-48x^{1}}{\left(3x^{1}-6\right)^{2}}
Arifmetik hisobni amalga oshirish.
\frac{\left(48-48\right)x^{1}-96x^{0}}{\left(3x^{1}-6\right)^{2}}
O'xshash hadlarni birlashtirish.
\frac{-96x^{0}}{\left(3x^{1}-6\right)^{2}}
48 dan 48 ni ayirish.
\frac{-96x^{0}}{\left(3x-6\right)^{2}}
Har qanday t sharti uchun t^{1}=t.
\frac{-96}{\left(3x-6\right)^{2}}
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
\frac{x\times 16}{3x-6}
2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.