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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{2}x^{2})
\frac{5}{2}x^{2} ni olish uchun 2x^{2} va \frac{1}{2}x^{2} ni birlashtirish.
2\times \frac{5}{2}x^{2-1}
ax^{n} hosilasi – nax^{n-1}.
5x^{2-1}
2 ni \frac{5}{2} marotabaga ko'paytirish.
5x^{1}
2 dan 1 ni ayirish.
5x
Har qanday t sharti uchun t^{1}=t.
\frac{5}{2}x^{2}
\frac{5}{2}x^{2} ni olish uchun 2x^{2} va \frac{1}{2}x^{2} ni birlashtirish.