4x*35x+x^2= eching

$$4x \times 35x+ { x }^{ 2 } =$$

Baholash

$$141x^{2}$$

Yechim qadamlari

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

$$4x^{2}\times 35+x^{2}$$

140 hosil qilish uchun 4 va 35 ni ko'paytirish.

$$140x^{2}+x^{2}$$

141x^{2} ni olish uchun 140x^{2} va x^{2} ni birlashtirish.

$$141x^{2}$$

x ga nisbatan hosilani topish

$$282x$$

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}.

$$140xx^{1-1}+2x^{2-1}$$

1 dan 1 ni ayirish.

$$140xx^{0}+2x^{2-1}$$

2 dan 1 ni ayirish.

$$140xx^{0}+2x^{1}$$

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

$$140xx^{0}+2x$$

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

$$140x\times 1+2x$$

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

$$140x+2x$$