Baholash
x-2
x ga nisbatan hosilani topish
1
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(\sqrt{x+2}\right)^{2}-2^{2}
Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
x+2-2^{2}
2 daraja ko‘rsatkichini \sqrt{x+2} ga hisoblang va x+2 ni qiymatni oling.
x+2-4
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
x-2
-2 olish uchun 2 dan 4 ni ayirish.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(\sqrt{x+2}\right)^{2}-2^{2})
Hisoblang: \left(\sqrt{x+2}-2\right)\left(\sqrt{x+2}+2\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(x+2-2^{2})
2 daraja ko‘rsatkichini \sqrt{x+2} ga hisoblang va x+2 ni qiymatni oling.
\frac{\mathrm{d}}{\mathrm{d}x}(x+2-4)
2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.
\frac{\mathrm{d}}{\mathrm{d}x}(x-2)
-2 olish uchun 2 dan 4 ni ayirish.
x^{1-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
x^{0}
1 dan 1 ni ayirish.
1
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
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}