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Veb-qidiruvdagi o'xshash muammolar

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\frac{3\left(x+1\right)}{\left(x-2\right)\left(x+1\right)}-\frac{2\left(x-2\right)}{\left(x-2\right)\left(x+1\right)}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-2 va x+1 ning eng kichik umumiy karralisi \left(x-2\right)\left(x+1\right). \frac{3}{x-2} ni \frac{x+1}{x+1} marotabaga ko'paytirish. \frac{2}{x+1} ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{3\left(x+1\right)-2\left(x-2\right)}{\left(x-2\right)\left(x+1\right)}
\frac{3\left(x+1\right)}{\left(x-2\right)\left(x+1\right)} va \frac{2\left(x-2\right)}{\left(x-2\right)\left(x+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{3x+3-2x+4}{\left(x-2\right)\left(x+1\right)}
3\left(x+1\right)-2\left(x-2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{x+7}{\left(x-2\right)\left(x+1\right)}
3x+3-2x+4 kabi iboralarga o‘xshab birlashtiring.
\frac{x+7}{x^{2}-x-2}
\left(x-2\right)\left(x+1\right) ni kengaytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3\left(x+1\right)}{\left(x-2\right)\left(x+1\right)}-\frac{2\left(x-2\right)}{\left(x-2\right)\left(x+1\right)})
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-2 va x+1 ning eng kichik umumiy karralisi \left(x-2\right)\left(x+1\right). \frac{3}{x-2} ni \frac{x+1}{x+1} marotabaga ko'paytirish. \frac{2}{x+1} ni \frac{x-2}{x-2} marotabaga ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3\left(x+1\right)-2\left(x-2\right)}{\left(x-2\right)\left(x+1\right)})
\frac{3\left(x+1\right)}{\left(x-2\right)\left(x+1\right)} va \frac{2\left(x-2\right)}{\left(x-2\right)\left(x+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3x+3-2x+4}{\left(x-2\right)\left(x+1\right)})
3\left(x+1\right)-2\left(x-2\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x+7}{\left(x-2\right)\left(x+1\right)})
3x+3-2x+4 kabi iboralarga o‘xshab birlashtiring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x+7}{x^{2}+x-2x-2})
x-2 ifodaning har bir elementini x+1 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x+7}{x^{2}-x-2})
-x ni olish uchun x va -2x ni birlashtirish.
\frac{\left(x^{2}-x^{1}-2\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}+7)-\left(x^{1}+7\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-x^{1}-2)}{\left(x^{2}-x^{1}-2\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(x^{2}-x^{1}-2\right)x^{1-1}-\left(x^{1}+7\right)\left(2x^{2-1}-x^{1-1}\right)}{\left(x^{2}-x^{1}-2\right)^{2}}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
\frac{\left(x^{2}-x^{1}-2\right)x^{0}-\left(x^{1}+7\right)\left(2x^{1}-x^{0}\right)}{\left(x^{2}-x^{1}-2\right)^{2}}
Qisqartirish.
\frac{x^{2}x^{0}-x^{1}x^{0}-2x^{0}-\left(x^{1}+7\right)\left(2x^{1}-x^{0}\right)}{\left(x^{2}-x^{1}-2\right)^{2}}
x^{2}-x^{1}-2 ni x^{0} marotabaga ko'paytirish.
\frac{x^{2}x^{0}-x^{1}x^{0}-2x^{0}-\left(x^{1}\times 2x^{1}+x^{1}\left(-1\right)x^{0}+7\times 2x^{1}+7\left(-1\right)x^{0}\right)}{\left(x^{2}-x^{1}-2\right)^{2}}
x^{1}+7 ni 2x^{1}-x^{0} marotabaga ko'paytirish.
\frac{x^{2}-x^{1}-2x^{0}-\left(2x^{1+1}-x^{1}+7\times 2x^{1}+7\left(-1\right)x^{0}\right)}{\left(x^{2}-x^{1}-2\right)^{2}}
Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.
\frac{x^{2}-x^{1}-2x^{0}-\left(2x^{2}-x^{1}+14x^{1}-7x^{0}\right)}{\left(x^{2}-x^{1}-2\right)^{2}}
Qisqartirish.
\frac{-x^{2}-14x^{1}+5x^{0}}{\left(x^{2}-x^{1}-2\right)^{2}}
O'xshash hadlarni birlashtirish.
\frac{-x^{2}-14x+5x^{0}}{\left(x^{2}-x-2\right)^{2}}
Har qanday t sharti uchun t^{1}=t.
\frac{-x^{2}-14x+5\times 1}{\left(x^{2}-x-2\right)^{2}}
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
\frac{-x^{2}-14x+5}{\left(x^{2}-x-2\right)^{2}}
Har qanday t sharti uchun t\times 1=t va 1t=t.