(7y^2+y-8)+(9y^2-y-5) eching

$$( 7 y ^ { 2 } + y - 8 ) + ( 9 y ^ { 2 } - y - 5 )$$

Baholash

$$16y^{2}-13$$

Yechim qadamlari

16y^{2} ni olish uchun 7y^{2} va 9y^{2} ni birlashtirish.

$$16y^{2}+y-8-y-5$$

0 ni olish uchun y va -y ni birlashtirish.

$$16y^{2}-8-5$$

-13 olish uchun -8 dan 5 ni ayirish.

$$16y^{2}-13$$

y ga nisbatan hosilani topish

$$32y$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

16y^{2} ni olish uchun 7y^{2} va 9y^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(16y^{2}+y-8-y-5)$$

0 ni olish uchun y va -y ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(16y^{2}-8-5)$$

-13 olish uchun -8 dan 5 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(16y^{2}-13)$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$2\times 16y^{2-1}$$

2 ni 16 marotabaga ko'paytirish.

$$32y^{2-1}$$

2 dan 1 ni ayirish.

$$32y^{1}$$

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

$$32y$$