-x^5+(y^2+x^2y^2)+({x}^5+{y}^2-{x}^2{y}^2) eching

$$- { x }^{ 5 } +( { y }^{ 2 } + { x }^{ 2 } { y }^{ 2 } )+( { x }^{ 5 } + { y }^{ 2 } - { x }^{ 2 } { y }^{ 2 } )$$

Baholash

$$2y^{2}$$

Yechim qadamlari

0 ni olish uchun -x^{5} va x^{5} ni birlashtirish.

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

2y^{2} ni olish uchun y^{2} va y^{2} ni birlashtirish.

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

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

$$2y^{2}$$

y ga nisbatan hosilani topish

$$4y$$

Derivativ ifodasidan foydalanish qadamlari

0 ni olish uchun -x^{5} va x^{5} ni birlashtirish.

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

2y^{2} ni olish uchun y^{2} va y^{2} ni birlashtirish.

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

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

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

ax^{n} hosilasi – nax^{n-1}.

$$2\times 2y^{2-1}$$

2 ni 2 marotabaga ko'paytirish.

$$4y^{2-1}$$

2 dan 1 ni ayirish.

$$4y^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$4y$$