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x ga nisbatan hosilani topish
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\frac{x^{1}}{\sqrt{x}}
Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.
x^{1-\frac{1}{2}}
Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.
\sqrt{x}
1 dan \frac{1}{2} ni ayirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{1}x^{1-\frac{1}{2}})
Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.
\frac{\mathrm{d}}{\mathrm{d}x}(\sqrt{x})
Arifmetik hisobni amalga oshirish.
\frac{1}{2}x^{\frac{1}{2}-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
\frac{1}{2}x^{-\frac{1}{2}}
Arifmetik hisobni amalga oshirish.