11x^2-2sqrt{11}x+1 eching

$$11 { x }^{ 2 } -2 \sqrt{ 11 } x+1$$

x ga nisbatan hosilani topish

$$22x-2\sqrt{11}$$

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}.

$$2\times 11x^{2-1}+\left(-2\sqrt{11}\right)x^{1-1}$$

2 ni 11 marotabaga ko'paytirish.

$$22x^{2-1}+\left(-2\sqrt{11}\right)x^{1-1}$$

2 dan 1 ni ayirish.

$$22x^{1}+\left(-2\sqrt{11}\right)x^{1-1}$$

1 dan 1 ni ayirish.

$$22x^{1}+\left(-2\sqrt{11}\right)x^{0}$$

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

$$22x+\left(-2\sqrt{11}\right)x^{0}$$

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

$$22x+\left(-2\sqrt{11}\right)\times 1$$

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

$$22x-2\sqrt{11}$$

Baholash

$$11x^{2}-2\sqrt{11}x+1$$

Yechim qadamlari

-2 hosil qilish uchun -1 va 2 ni ko'paytirish.

$$11x^{2}-2\sqrt{11}x+1$$