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Veb-qidiruvdagi o'xshash muammolar

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\frac{x^{3}\left(x+3\right)}{x+3}+\frac{1}{x+3}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{3} ni \frac{x+3}{x+3} marotabaga ko'paytirish.
\frac{x^{3}\left(x+3\right)+1}{x+3}
\frac{x^{3}\left(x+3\right)}{x+3} va \frac{1}{x+3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{x^{4}+3x^{3}+1}{x+3}
x^{3}\left(x+3\right)+1 ichidagi ko‘paytirishlarni bajaring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{3}\left(x+3\right)}{x+3}+\frac{1}{x+3})
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{3} ni \frac{x+3}{x+3} marotabaga ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{3}\left(x+3\right)+1}{x+3})
\frac{x^{3}\left(x+3\right)}{x+3} va \frac{1}{x+3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}+3x^{3}+1}{x+3})
x^{3}\left(x+3\right)+1 ichidagi ko‘paytirishlarni bajaring.
\frac{\left(x^{1}+3\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}+3x^{3}+1)-\left(x^{4}+3x^{3}+1\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}+3)}{\left(x^{1}+3\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}+3\right)\left(4x^{4-1}+3\times 3x^{3-1}\right)-\left(x^{4}+3x^{3}+1\right)x^{1-1}}{\left(x^{1}+3\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}+3\right)\left(4x^{3}+9x^{2}\right)-\left(x^{4}+3x^{3}+1\right)x^{0}}{\left(x^{1}+3\right)^{2}}
Qisqartirish.
\frac{x^{1}\times 4x^{3}+x^{1}\times 9x^{2}+3\times 4x^{3}+3\times 9x^{2}-\left(x^{4}+3x^{3}+1\right)x^{0}}{\left(x^{1}+3\right)^{2}}
x^{1}+3 ni 4x^{3}+9x^{2} marotabaga ko'paytirish.
\frac{x^{1}\times 4x^{3}+x^{1}\times 9x^{2}+3\times 4x^{3}+3\times 9x^{2}-\left(x^{4}x^{0}+3x^{3}x^{0}+x^{0}\right)}{\left(x^{1}+3\right)^{2}}
x^{4}+3x^{3}+1 ni x^{0} marotabaga ko'paytirish.
\frac{4x^{1+3}+9x^{1+2}+3\times 4x^{3}+3\times 9x^{2}-\left(x^{4}+3x^{3}+x^{0}\right)}{\left(x^{1}+3\right)^{2}}
Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.
\frac{4x^{4}+9x^{3}+12x^{3}+27x^{2}-\left(x^{4}+3x^{3}+x^{0}\right)}{\left(x^{1}+3\right)^{2}}
Qisqartirish.
\frac{3x^{4}+6x^{3}+12x^{3}+27x^{2}-x^{0}}{\left(x^{1}+3\right)^{2}}
O'xshash hadlarni birlashtirish.
\frac{3x^{4}+6x^{3}+12x^{3}+27x^{2}-x^{0}}{\left(x+3\right)^{2}}
Har qanday t sharti uchun t^{1}=t.
\frac{3x^{4}+6x^{3}+12x^{3}+27x^{2}-1}{\left(x+3\right)^{2}}
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.