3x^2+5x(-4x) eching

$$3 x ^ { 2 } + 5 x ( - 4 x )$$

Baholash

$$-17x^{2}$$

Yechim qadamlari

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

$$3x^{2}+5x^{2}\left(-4\right)$$

-20 hosil qilish uchun 5 va -4 ni ko'paytirish.

$$3x^{2}-20x^{2}$$

-17x^{2} ni olish uchun 3x^{2} va -20x^{2} ni birlashtirish.

$$-17x^{2}$$

x ga nisbatan hosilani topish

$$-34x$$

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}.

$$2\times 3x^{2-1}+\left(-20x\right)x^{1-1}$$

2 ni 3 marotabaga ko'paytirish.

$$6x^{2-1}+\left(-20x\right)x^{1-1}$$

2 dan 1 ni ayirish.

$$6x^{1}+\left(-20x\right)x^{1-1}$$

1 dan 1 ni ayirish.

$$6x^{1}+\left(-20x\right)x^{0}$$

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

$$6x+\left(-20x\right)x^{0}$$

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

$$6x+\left(-20x\right)\times 1$$

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

$$6x-20x$$