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x ga nisbatan hosilani topish
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Veb-qidiruvdagi o'xshash muammolar

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\frac{\left(2x^{2}+1\right)\frac{\mathrm{d}}{\mathrm{d}x}(-x^{2})-\left(-x^{2}\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}+1)\right)}{\left(2x^{2}+1\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(2x^{2}+1\right)\times 2\left(-1\right)x^{2-1}-\left(-x^{2}\times 2\times 2x^{2-1}\right)}{\left(2x^{2}+1\right)^{2}}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
\frac{\left(2x^{2}+1\right)\left(-2\right)x^{1}-\left(-x^{2}\times 4x^{1}\right)}{\left(2x^{2}+1\right)^{2}}
Arifmetik hisobni amalga oshirish.
\frac{2x^{2}\left(-2\right)x^{1}-2x^{1}-\left(-x^{2}\times 4x^{1}\right)}{\left(2x^{2}+1\right)^{2}}
Distributiv xususiyatdan foydalanib kengaytirish.
\frac{2\left(-2\right)x^{2+1}-2x^{1}-\left(-4x^{2+1}\right)}{\left(2x^{2}+1\right)^{2}}
Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.
\frac{-4x^{3}-2x^{1}-\left(-4x^{3}\right)}{\left(2x^{2}+1\right)^{2}}
Arifmetik hisobni amalga oshirish.
\frac{\left(-4-\left(-4\right)\right)x^{3}-2x^{1}}{\left(2x^{2}+1\right)^{2}}
O'xshash hadlarni birlashtirish.
\frac{-2x^{1}}{\left(2x^{2}+1\right)^{2}}
-4 dan -4 ni ayirish.
\frac{-2x}{\left(2x^{2}+1\right)^{2}}
Har qanday t sharti uchun t^{1}=t.