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Veb-qidiruvdagi o'xshash muammolar

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\frac{3}{x+2}+\frac{x+2}{x+2}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x+2}{x+2} marotabaga ko'paytirish.
\frac{3+x+2}{x+2}
\frac{3}{x+2} va \frac{x+2}{x+2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{5+x}{x+2}
3+x+2 kabi iboralarga o‘xshab birlashtiring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{x+2}+\frac{x+2}{x+2})
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x+2}{x+2} marotabaga ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3+x+2}{x+2})
\frac{3}{x+2} va \frac{x+2}{x+2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5+x}{x+2})
3+x+2 kabi iboralarga o‘xshab birlashtiring.
\frac{\left(x^{1}+2\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}+5)-\left(x^{1}+5\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}+2)}{\left(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^{1}+2\right)x^{1-1}-\left(x^{1}+5\right)x^{1-1}}{\left(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^{1}+2\right)x^{0}-\left(x^{1}+5\right)x^{0}}{\left(x^{1}+2\right)^{2}}
Arifmetik hisobni amalga oshirish.
\frac{x^{1}x^{0}+2x^{0}-\left(x^{1}x^{0}+5x^{0}\right)}{\left(x^{1}+2\right)^{2}}
Distributiv xususiyatdan foydalanib kengaytirish.
\frac{x^{1}+2x^{0}-\left(x^{1}+5x^{0}\right)}{\left(x^{1}+2\right)^{2}}
Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.
\frac{x^{1}+2x^{0}-x^{1}-5x^{0}}{\left(x^{1}+2\right)^{2}}
Keraksiz qavslarni olib tashlash.
\frac{\left(1-1\right)x^{1}+\left(2-5\right)x^{0}}{\left(x^{1}+2\right)^{2}}
O'xshash hadlarni birlashtirish.
\frac{-3x^{0}}{\left(x^{1}+2\right)^{2}}
1 dan 1 ni va 2 dan 5 ni ayiring.
\frac{-3x^{0}}{\left(x+2\right)^{2}}
Har qanday t sharti uchun t^{1}=t.
\frac{-3}{\left(x+2\right)^{2}}
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.