(3t^2-2t-1)+(4t^2-7t+6) eching

$$( 3 t ^ { 2 } - 2 t - 1 ) + ( 4 t ^ { 2 } - 7 t + 6 )$$

Baholash

$$7t^{2}-9t+5$$

Yechim qadamlari

7t^{2} ni olish uchun 3t^{2} va 4t^{2} ni birlashtirish.

$$7t^{2}-2t-1-7t+6$$

-9t ni olish uchun -2t va -7t ni birlashtirish.

$$7t^{2}-9t-1+6$$

5 olish uchun -1 va 6'ni qo'shing.

$$7t^{2}-9t+5$$

t ga nisbatan hosilani topish

$$14t-9$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

7t^{2} ni olish uchun 3t^{2} va 4t^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(7t^{2}-2t-1-7t+6)$$

-9t ni olish uchun -2t va -7t ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(7t^{2}-9t-1+6)$$

5 olish uchun -1 va 6'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}t}(7t^{2}-9t+5)$$

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

$$2\times 7t^{2-1}-9t^{1-1}$$

2 ni 7 marotabaga ko'paytirish.

$$14t^{2-1}-9t^{1-1}$$

2 dan 1 ni ayirish.

$$14t^{1}-9t^{1-1}$$

1 dan 1 ni ayirish.

$$14t^{1}-9t^{0}$$

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

$$14t-9t^{0}$$

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

$$14t-9$$