3y*y+4y^2 eching

$$3 y \times y + 4 y ^ { 2 }$$

Baholash

$$7y^{2}$$

Yechim qadamlari

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

$$3y^{2}+4y^{2}$$

7y^{2} ni olish uchun 3y^{2} va 4y^{2} ni birlashtirish.

$$7y^{2}$$

y ga nisbatan hosilani topish

$$14y$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

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

$$3yy^{1-1}+2\times 4y^{2-1}$$

1 dan 1 ni ayirish.

$$3yy^{0}+2\times 4y^{2-1}$$

2 ni 4 marotabaga ko'paytirish.

$$3yy^{0}+8y^{2-1}$$

2 dan 1 ni ayirish.

$$3yy^{0}+8y^{1}$$

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

$$3yy^{0}+8y$$

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

$$3y\times 1+8y$$

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

$$3y+8y$$