7x^2y-8xy+16 eching

$$7 { x }^{ 2 } y-8xy+16$$

x ga nisbatan hosilani topish

$$14xy-8y$$

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}.

$$2\times 7yx^{2-1}+\left(-8y\right)x^{1-1}$$

2 ni 7y marotabaga ko'paytirish.

$$14yx^{2-1}+\left(-8y\right)x^{1-1}$$

2 dan 1 ni ayirish.

$$14yx^{1}+\left(-8y\right)x^{1-1}$$

1 dan 1 ni ayirish.

$$14yx^{1}+\left(-8y\right)x^{0}$$

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

$$14yx+\left(-8y\right)x^{0}$$

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

$$14yx+\left(-8y\right)\times 1$$

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

$$14yx-8y$$

Baholash

$$16+7yx^{2}-8xy$$