(7v^2-3v-2)+(6v^2-v+5) eching

$$( 7 v ^ { 2 } - 3 v - 2 ) + ( 6 v ^ { 2 } - v + 5 )$$

Baholash

$$13v^{2}-4v+3$$

Yechim qadamlari

13v^{2} ni olish uchun 7v^{2} va 6v^{2} ni birlashtirish.

$$13v^{2}-3v-2-v+5$$

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

$$13v^{2}-4v-2+5$$

3 olish uchun -2 va 5'ni qo'shing.

$$13v^{2}-4v+3$$

v ga nisbatan hosilani topish

$$26v-4$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

13v^{2} ni olish uchun 7v^{2} va 6v^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}v}(13v^{2}-3v-2-v+5)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}v}(13v^{2}-4v-2+5)$$

3 olish uchun -2 va 5'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}v}(13v^{2}-4v+3)$$

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

$$2\times 13v^{2-1}-4v^{1-1}$$

2 ni 13 marotabaga ko'paytirish.

$$26v^{2-1}-4v^{1-1}$$

2 dan 1 ni ayirish.

$$26v^{1}-4v^{1-1}$$

1 dan 1 ni ayirish.

$$26v^{1}-4v^{0}$$

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

$$26v-4v^{0}$$

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

$$26v-4$$