z^2+10z+24quad2 eching

$$z ^ { 2 } + 10 z + 24 \quad 2$$

z ga nisbatan hosilani topish

$$2\left(z+5\right)$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

48 hosil qilish uchun 24 va 2 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}z}(z^{2}+10z+48)$$

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

$$2z^{2-1}+10z^{1-1}$$

2 dan 1 ni ayirish.

$$2z^{1}+10z^{1-1}$$

1 dan 1 ni ayirish.

$$2z^{1}+10z^{0}$$

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

$$2z+10z^{0}$$

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

$$2z+10\times 1$$

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

$$2z+10$$

Baholash

$$z^{2}+10z+48$$

Yechim qadamlari

48 hosil qilish uchun 24 va 2 ni ko'paytirish.

$$z^{2}+10z+48$$