-3x^{2}y:(-3xy)-[x^{2}-(x^{2}-1)-xy-1]*[2x^{2}-2x-(-4x^{4}y^2):(-2x^2y^2)]+2x^2y eching

$$- 3 x ^ { 2 } y : ( - 3 x y ) - [ x ^ { 2 } - ( x ^ { 2 } - 1 ) - x y - 1 ] \cdot [ 2 x ^ { 2 } - 2 x - ( - 4 x ^ { 4 } y ^ { 2 } ) : ( - 2 x ^ { 2 } y ^ { 2 } ) ] + 2 x ^ { 2 } y$$

Baholash

$$x$$

Yechim qadamlari

Surat va maxrajdagi ikkala -3xy ni qisqartiring.

$$x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-\frac{-4x^{4}y^{2}}{-2x^{2}y^{2}}\right)+2x^{2}y$$

Surat va maxrajdagi ikkala 2x^{2}y^{2} ni qisqartiring.

$$x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-\frac{-2x^{2}}{-1}\right)+2x^{2}y$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-2x^{2}\right)+2x^{2}y$$

0 olish uchun 2x^{2} dan 2x^{2} ni ayirish.

$$x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(-2\right)x+2x^{2}y$$

x^{2}-1 teskarisini topish uchun har birining teskarisini toping.

$$x-\left(x^{2}-x^{2}+1-xy-1\right)\left(-2\right)x+2x^{2}y$$

0 ni olish uchun x^{2} va -x^{2} ni birlashtirish.

$$x-\left(1-xy-1\right)\left(-2\right)x+2x^{2}y$$

0 olish uchun 1 dan 1 ni ayirish.

$$x-\left(-xy\left(-2\right)x\right)+2x^{2}y$$

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

$$x-2xyx+2x^{2}y$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x-2x^{2}y+2x^{2}y$$

0 ni olish uchun -2x^{2}y va 2x^{2}y ni birlashtirish.

$$x$$

x ga nisbatan hosilani topish

$$1$$

Derivativ ifodasidan foydalanish qadamlari

Surat va maxrajdagi ikkala -3xy ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-\frac{-4x^{4}y^{2}}{-2x^{2}y^{2}}\right)+2x^{2}y)$$

Surat va maxrajdagi ikkala 2x^{2}y^{2} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-\frac{-2x^{2}}{-1}\right)+2x^{2}y)$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(2x^{2}-2x-2x^{2}\right)+2x^{2}y)$$

0 olish uchun 2x^{2} dan 2x^{2} ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(x^{2}-\left(x^{2}-1\right)-xy-1\right)\left(-2\right)x+2x^{2}y)$$

x^{2}-1 teskarisini topish uchun har birining teskarisini toping.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(x^{2}-x^{2}+1-xy-1\right)\left(-2\right)x+2x^{2}y)$$

0 ni olish uchun x^{2} va -x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(1-xy-1\right)\left(-2\right)x+2x^{2}y)$$

0 olish uchun 1 dan 1 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(-xy\left(-2\right)x\right)+2x^{2}y)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-2xyx+2x^{2}y)$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-2x^{2}y+2x^{2}y)$$

0 ni olish uchun -2x^{2}y va 2x^{2}y ni birlashtirish.

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

ax^{n} hosilasi – nax^{n-1}.

$$x^{1-1}$$

1 dan 1 ni ayirish.

$$x^{0}$$

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

$$1$$