9x^2-3x-56x^2-8x-1 eching

$$9 x ^ { 2 } - 3 x - 56 x ^ { 2 } - 8 x - 1$$

Baholash

$$-47x^{2}-11x-1$$

Yechim qadamlari

-47x^{2} ni olish uchun 9x^{2} va -56x^{2} ni birlashtirish.

$$-47x^{2}-3x-8x-1$$

-11x ni olish uchun -3x va -8x ni birlashtirish.

$$-47x^{2}-11x-1$$

x ga nisbatan hosilani topish

$$-94x-11$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

-47x^{2} ni olish uchun 9x^{2} va -56x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-47x^{2}-3x-8x-1)$$

-11x ni olish uchun -3x va -8x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-47x^{2}-11x-1)$$

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

$$2\left(-47\right)x^{2-1}-11x^{1-1}$$

2 ni -47 marotabaga ko'paytirish.

$$-94x^{2-1}-11x^{1-1}$$

2 dan 1 ni ayirish.

$$-94x^{1}-11x^{1-1}$$

1 dan 1 ni ayirish.

$$-94x^{1}-11x^{0}$$

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

$$-94x-11x^{0}$$

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

$$-94x-11$$