\frac { d y } { x } = \sqrt { x }
d uchun yechish
d=\frac{x^{\frac{3}{2}}}{y}
y\neq 0\text{ and }x>0
x uchun yechish
x=\left(dy\right)^{\frac{2}{3}}
\left(d<0\text{ and }y<0\right)\text{ or }\left(d>0\text{ and }y>0\right)
Grafik
Baham ko'rish
Klipbordga nusxa olish
dy=x\sqrt{x}
Tenglamaning ikkala tarafini x ga ko'paytirish.
yd=\sqrt{x}x
Tenglama standart shaklda.
\frac{yd}{y}=\frac{x^{\frac{3}{2}}}{y}
Ikki tarafini y ga bo‘ling.
d=\frac{x^{\frac{3}{2}}}{y}
y ga bo'lish y ga ko'paytirishni bekor qiladi.
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}