5y^3-7+2y^3-y^2 eching

$$5 y ^ { 3 } - 7 + 2 y ^ { 3 } - y ^ { 2 }$$

y ga nisbatan hosilani topish

$$y\left(21y-2\right)$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

7y^{3} ni olish uchun 5y^{3} va 2y^{3} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(7y^{3}-7-y^{2})$$

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

$$3\times 7y^{3-1}+2\left(-1\right)y^{2-1}$$

3 ni 7 marotabaga ko'paytirish.

$$21y^{3-1}+2\left(-1\right)y^{2-1}$$

3 dan 1 ni ayirish.

$$21y^{2}+2\left(-1\right)y^{2-1}$$

2 ni -1 marotabaga ko'paytirish.

$$21y^{2}-2y^{2-1}$$

2 dan 1 ni ayirish.

$$21y^{2}-2y^{1}$$

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

$$21y^{2}-2y$$

Baholash

$$7y^{3}-y^{2}-7$$

Yechim qadamlari

7y^{3} ni olish uchun 5y^{3} va 2y^{3} ni birlashtirish.

$$7y^{3}-7-y^{2}$$