-4(- { \left( \sqrt{ (x \div 2)-3 } \right) }^{ 2 } -3
Baholash
2x
x ga nisbatan hosilani topish
2
Grafik
Baham ko'rish
Klipbordga nusxa olish
-4\left(-\left(\sqrt{\frac{x}{2}-\frac{3\times 2}{2}}\right)^{2}-3\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{2}{2} marotabaga ko'paytirish.
-4\left(-\left(\sqrt{\frac{x-3\times 2}{2}}\right)^{2}-3\right)
\frac{x}{2} va \frac{3\times 2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
-4\left(-\left(\sqrt{\frac{x-6}{2}}\right)^{2}-3\right)
x-3\times 2 ichidagi ko‘paytirishlarni bajaring.
-4\left(-\frac{x-6}{2}-3\right)
2 daraja ko‘rsatkichini \sqrt{\frac{x-6}{2}} ga hisoblang va \frac{x-6}{2} ni qiymatni oling.
-4\left(-\frac{x-6}{2}-\frac{3\times 2}{2}\right)
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{2}{2} marotabaga ko'paytirish.
-4\times \frac{-\left(x-6\right)-3\times 2}{2}
-\frac{x-6}{2} va \frac{3\times 2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
-4\times \frac{-x+6-6}{2}
-\left(x-6\right)-3\times 2 ichidagi ko‘paytirishlarni bajaring.
-4\times \frac{-x}{2}
-x+6-6 kabi iboralarga o‘xshab birlashtiring.
-2\left(-1\right)x
4 va 2 ichida eng katta umumiy 2 faktorini bekor qiling.
2x
2 hosil qilish uchun -2 va -1 ni ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\left(\sqrt{\frac{x}{2}-\frac{3\times 2}{2}}\right)^{2}-3\right))
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{2}{2} marotabaga ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\left(\sqrt{\frac{x-3\times 2}{2}}\right)^{2}-3\right))
\frac{x}{2} va \frac{3\times 2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\left(\sqrt{\frac{x-6}{2}}\right)^{2}-3\right))
x-3\times 2 ichidagi ko‘paytirishlarni bajaring.
\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\frac{x-6}{2}-3\right))
2 daraja ko‘rsatkichini \sqrt{\frac{x-6}{2}} ga hisoblang va \frac{x-6}{2} ni qiymatni oling.
\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\frac{x-6}{2}-\frac{3\times 2}{2}\right))
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{2}{2} marotabaga ko'paytirish.
\frac{\mathrm{d}}{\mathrm{d}x}(-4\times \frac{-\left(x-6\right)-3\times 2}{2})
-\frac{x-6}{2} va \frac{3\times 2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{\mathrm{d}}{\mathrm{d}x}(-4\times \frac{-x+6-6}{2})
-\left(x-6\right)-3\times 2 ichidagi ko‘paytirishlarni bajaring.
\frac{\mathrm{d}}{\mathrm{d}x}(-4\times \frac{-x}{2})
-x+6-6 kabi iboralarga o‘xshab birlashtiring.
\frac{\mathrm{d}}{\mathrm{d}x}(-2\left(-1\right)x)
4 va 2 ichida eng katta umumiy 2 faktorini bekor qiling.
\frac{\mathrm{d}}{\mathrm{d}x}(2x)
2 hosil qilish uchun -2 va -1 ni ko'paytirish.
2x^{1-1}
ax^{n} hosilasi – nax^{n-1}.
2x^{0}
1 dan 1 ni ayirish.
2\times 1
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
2
Har qanday t sharti uchun t\times 1=t va 1t=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}