4x+3^26x-2-5x+4 eching

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

Baholash

$$53x+2$$

Yechim qadamlari

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$4x+9\times 6x-2-5x+4$$

54 hosil qilish uchun 9 va 6 ni ko'paytirish.

$$4x+54x-2-5x+4$$

58x ni olish uchun 4x va 54x ni birlashtirish.

$$58x-2-5x+4$$

53x ni olish uchun 58x va -5x ni birlashtirish.

$$53x-2+4$$

2 olish uchun -2 va 4'ni qo'shing.

$$53x+2$$

x ga nisbatan hosilani topish

$$53$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x+9\times 6x-2-5x+4)$$

54 hosil qilish uchun 9 va 6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x+54x-2-5x+4)$$

58x ni olish uchun 4x va 54x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(58x-2-5x+4)$$

53x ni olish uchun 58x va -5x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(53x-2+4)$$

2 olish uchun -2 va 4'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(53x+2)$$

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

$$53x^{1-1}$$

1 dan 1 ni ayirish.

$$53x^{0}$$

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

$$53\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$53$$