pix^2+3x+01415926 eching

$$\pi { x }^{ 2 } +3x+01415926$$

Baholash

$$x\left(\pi x+3\right)$$

Yechim qadamlari

0 hosil qilish uchun 0 va 1415926 ni ko'paytirish.

$$\pi x^{2}+3x+0$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$\pi x^{2}+3x$$

x ga nisbatan hosilani topish

$$2\pi x+3$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

0 hosil qilish uchun 0 va 1415926 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\pi x^{2}+3x+0)$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\pi x^{2}+3x)$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$2\pi x^{2-1}+3x^{1-1}$$

2 dan 1 ni ayirish.

$$2\pi x^{1}+3x^{1-1}$$

1 dan 1 ni ayirish.

$$2\pi x^{1}+3x^{0}$$

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

$$2\pi x+3x^{0}$$

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

$$2\pi x+3\times 1$$

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

$$2\pi x+3$$