4m-3+4m^2+7-9m eching

$$4 m - 3 + 4 m ^ { 2 } + 7 - 9 m$$

Baholash

$$4m^{2}-5m+4$$

Yechim qadamlari

4 olish uchun -3 va 7'ni qo'shing.

$$4m+4+4m^{2}-9m$$

-5m ni olish uchun 4m va -9m ni birlashtirish.

$$-5m+4+4m^{2}$$

m ga nisbatan hosilani topish

$$8m-5$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

4 olish uchun -3 va 7'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}m}(4m+4+4m^{2}-9m)$$

-5m ni olish uchun 4m va -9m ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-5m+4+4m^{2})$$

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

$$-5m^{1-1}+2\times 4m^{2-1}$$

1 dan 1 ni ayirish.

$$-5m^{0}+2\times 4m^{2-1}$$

2 ni 4 marotabaga ko'paytirish.

$$-5m^{0}+8m^{2-1}$$

2 dan 1 ni ayirish.

$$-5m^{0}+8m^{1}$$

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

$$-5m^{0}+8m$$

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

$$-5+8m$$