4x^2+1-2x2^n+1 eching

$$4 x ^ { 2 } + 1 - 2 x 2 ^ { n + 1 }$$

x ga nisbatan hosilani topish

$$8x-4\times 2^{n}$$

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}.

$$2\times 4x^{2-1}+\left(-2\times 2^{n+1}\right)x^{1-1}$$

2 ni 4 marotabaga ko'paytirish.

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

2 dan 1 ni ayirish.

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

1 dan 1 ni ayirish.

$$8x^{1}+\left(-4\times 2^{n}\right)x^{0}$$

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

$$8x+\left(-4\times 2^{n}\right)x^{0}$$

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

$$8x+\left(-4\times 2^{n}\right)\times 1$$

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

$$8x-4\times 2^{n}$$

Baholash

$$4x^{2}-4x\times 2^{n}+1$$