-4(-{left(sqrt{(xdiv2)-3}right)}^2-3 eching

$$-4(- { \left( \sqrt{ (x \div 2)-3 } \right) }^{ 2 } -3$$

Baholash

$$2x$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{2}{2} marotabaga ko'paytirish.

$$-4\left(-\left(\sqrt{\frac{x}{2}-\frac{3\times 2}{2}}\right)^{2}-3\right)$$

\frac{x}{2} va \frac{3\times 2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-4\left(-\left(\sqrt{\frac{x-3\times 2}{2}}\right)^{2}-3\right)$$

x-3\times 2 ichidagi ko‘paytirishlarni bajaring.

$$-4\left(-\left(\sqrt{\frac{x-6}{2}}\right)^{2}-3\right)$$

2 daraja ko‘rsatkichini \sqrt{\frac{x-6}{2}} ga hisoblang va \frac{x-6}{2} ni qiymatni oling.

$$-4\left(-\frac{x-6}{2}-3\right)$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{2}{2} marotabaga ko'paytirish.

$$-4\left(-\frac{x-6}{2}-\frac{3\times 2}{2}\right)$$

-\frac{x-6}{2} va \frac{3\times 2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-4\times \frac{-\left(x-6\right)-3\times 2}{2}$$

-\left(x-6\right)-3\times 2 ichidagi ko‘paytirishlarni bajaring.

$$-4\times \frac{-x+6-6}{2}$$

-x+6-6 kabi iboralarga o‘xshab birlashtiring.

$$-4\times \frac{-x}{2}$$

4 va 2 ichida eng katta umumiy 2 faktorini bekor qiling.

$$-2\left(-1\right)x$$

2 hosil qilish uchun -2 va -1 ni ko'paytirish.

$$2x$$

x ga nisbatan hosilani topish

$$2$$

Derivativ ifodasidan foydalanish qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\left(\sqrt{\frac{x}{2}-\frac{3\times 2}{2}}\right)^{2}-3\right))$$

\frac{x}{2} va \frac{3\times 2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\left(\sqrt{\frac{x-3\times 2}{2}}\right)^{2}-3\right))$$

x-3\times 2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\left(\sqrt{\frac{x-6}{2}}\right)^{2}-3\right))$$

2 daraja ko‘rsatkichini \sqrt{\frac{x-6}{2}} ga hisoblang va \frac{x-6}{2} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\frac{x-6}{2}-3\right))$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\frac{x-6}{2}-\frac{3\times 2}{2}\right))$$

-\frac{x-6}{2} va \frac{3\times 2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\times \frac{-\left(x-6\right)-3\times 2}{2})$$

-\left(x-6\right)-3\times 2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\times \frac{-x+6-6}{2})$$

-x+6-6 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\times \frac{-x}{2})$$

4 va 2 ichida eng katta umumiy 2 faktorini bekor qiling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2\left(-1\right)x)$$

2 hosil qilish uchun -2 va -1 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x)$$

ax^{n} hosilasi – nax^{n-1}.

$$2x^{1-1}$$

1 dan 1 ni ayirish.

$$2x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$2\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$2$$