Baholash
\frac{1}{2}+\frac{1}{x}
x ga nisbatan hosilani topish
-\frac{1}{x^{2}}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{4\left(x^{2}+5x+6\right)}{\left(x^{2}+3x\right)\times 8}
\frac{4}{x^{2}+3x} ni \frac{8}{x^{2}+5x+6} ga bo'lish \frac{4}{x^{2}+3x} ga k'paytirish \frac{8}{x^{2}+5x+6} ga qaytarish.
\frac{x^{2}+5x+6}{2\left(x^{2}+3x\right)}
Surat va maxrajdagi ikkala 4 ni qisqartiring.
\frac{\left(x+2\right)\left(x+3\right)}{2x\left(x+3\right)}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{x+2}{2x}
Surat va maxrajdagi ikkala x+3 ni qisqartiring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\left(x^{2}+5x+6\right)}{\left(x^{2}+3x\right)\times 8})
\frac{4}{x^{2}+3x} ni \frac{8}{x^{2}+5x+6} ga bo'lish \frac{4}{x^{2}+3x} ga k'paytirish \frac{8}{x^{2}+5x+6} ga qaytarish.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}+5x+6}{2\left(x^{2}+3x\right)})
Surat va maxrajdagi ikkala 4 ni qisqartiring.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(x+2\right)\left(x+3\right)}{2x\left(x+3\right)})
\frac{x^{2}+5x+6}{2\left(x^{2}+3x\right)} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x+2}{2x})
Surat va maxrajdagi ikkala x+3 ni qisqartiring.
\frac{2x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}+2)-\left(x^{1}+2\right)\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1})}{\left(2x^{1}\right)^{2}}
Har qanday ikki differensial funksiya uchun ikki funksiyaning koeffitsient hosilasi raqamlagichning hosila marotabasi maxraj minusi va barchasi kvadrat maxrajiga bo'lingan.
\frac{2x^{1}x^{1-1}-\left(x^{1}+2\right)\times 2x^{1-1}}{\left(2x^{1}\right)^{2}}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
\frac{2x^{1}x^{0}-\left(x^{1}+2\right)\times 2x^{0}}{\left(2x^{1}\right)^{2}}
Arifmetik hisobni amalga oshirish.
\frac{2x^{1}x^{0}-\left(x^{1}\times 2x^{0}+2\times 2x^{0}\right)}{\left(2x^{1}\right)^{2}}
Distributiv xususiyatdan foydalanib kengaytirish.
\frac{2x^{1}-\left(2x^{1}+2\times 2x^{0}\right)}{\left(2x^{1}\right)^{2}}
Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.
\frac{2x^{1}-\left(2x^{1}+4x^{0}\right)}{\left(2x^{1}\right)^{2}}
Arifmetik hisobni amalga oshirish.
\frac{2x^{1}-2x^{1}-4x^{0}}{\left(2x^{1}\right)^{2}}
Keraksiz qavslarni olib tashlash.
\frac{\left(2-2\right)x^{1}-4x^{0}}{\left(2x^{1}\right)^{2}}
O'xshash hadlarni birlashtirish.
-\frac{4x^{0}}{\left(2x^{1}\right)^{2}}
2 dan 2 ni ayirish.
-\frac{4x^{0}}{2^{2}x^{2}}
Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.
-\frac{4x^{0}}{4x^{2}}
2 ni 2 daraja ko'rsatgichiga oshirish.
\frac{-4x^{0}}{4x^{2}}
1 ni 2 marotabaga ko'paytirish.
\left(-\frac{4}{4}\right)x^{-2}
Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.
-x^{-2}
Arifmetik hisobni amalga oshirish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}