6x^2-5x+12+3x^2+4x-7 eching

$$6 x ^ { 2 } - 5 x + 12 + 3 x ^ { 2 } + 4 x - 7$$

Baholash

$$9x^{2}-x+5$$

Yechim qadamlari

9x^{2} ni olish uchun 6x^{2} va 3x^{2} ni birlashtirish.

$$9x^{2}-5x+12+4x-7$$

-x ni olish uchun -5x va 4x ni birlashtirish.

$$9x^{2}-x+12-7$$

5 olish uchun 12 dan 7 ni ayirish.

$$9x^{2}-x+5$$

x ga nisbatan hosilani topish

$$18x-1$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

9x^{2} ni olish uchun 6x^{2} va 3x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x^{2}-5x+12+4x-7)$$

-x ni olish uchun -5x va 4x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x^{2}-x+12-7)$$

5 olish uchun 12 dan 7 ni ayirish.

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

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

$$2\times 9x^{2-1}-x^{1-1}$$

2 ni 9 marotabaga ko'paytirish.

$$18x^{2-1}-x^{1-1}$$

2 dan 1 ni ayirish.

$$18x^{1}-x^{1-1}$$

1 dan 1 ni ayirish.

$$18x^{1}-x^{0}$$

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

$$18x-x^{0}$$

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

$$18x-1$$