Baholash
y^{2}-5
y ga nisbatan hosilani topish
2y
Viktorina
Algebra
00 x ^ { 2 } + y ^ { 2 } - 5
Baham ko'rish
Klipbordga nusxa olish
0x^{2}+y^{2}-5
0 hosil qilish uchun 0 va 0 ni ko'paytirish.
0+y^{2}-5
Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.
-5+y^{2}
-5 olish uchun 0 dan 5 ni ayirish.
\frac{\mathrm{d}}{\mathrm{d}y}(0x^{2}+y^{2}-5)
0 hosil qilish uchun 0 va 0 ni ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}y}(0+y^{2}-5)
Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.
\frac{\mathrm{d}}{\mathrm{d}y}(-5+y^{2})
-5 olish uchun 0 dan 5 ni ayirish.
2y^{2-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
2y^{1}
2 dan 1 ni ayirish.
2y
Har qanday t sharti uchun t^{1}=t.
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}