7m^2-4m+m^2+m+5 eching

$$7 m ^ { 2 } - 4 m + m ^ { 2 } + m + 5$$

Baholash

$$8m^{2}-3m+5$$

Yechim qadamlari

8m^{2} ni olish uchun 7m^{2} va m^{2} ni birlashtirish.

$$8m^{2}-4m+m+5$$

-3m ni olish uchun -4m va m ni birlashtirish.

$$8m^{2}-3m+5$$

m ga nisbatan hosilani topish

$$16m-3$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

8m^{2} ni olish uchun 7m^{2} va m^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(8m^{2}-4m+m+5)$$

-3m ni olish uchun -4m va m ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(8m^{2}-3m+5)$$

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

$$2\times 8m^{2-1}-3m^{1-1}$$

2 ni 8 marotabaga ko'paytirish.

$$16m^{2-1}-3m^{1-1}$$

2 dan 1 ni ayirish.

$$16m^{1}-3m^{1-1}$$

1 dan 1 ni ayirish.

$$16m^{1}-3m^{0}$$

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

$$16m-3m^{0}$$

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

$$16m-3$$