x+9-3+4-1+8-1= eching

$$x + 9 - 3 + 4 - 1 + 8 - 1 =$$

Baholash

$$x+16$$

Yechim qadamlari

6 olish uchun 9 dan 3 ni ayirish.

$$x+6+4-1+8-1$$

10 olish uchun 6 va 4'ni qo'shing.

$$x+10-1+8-1$$

9 olish uchun 10 dan 1 ni ayirish.

$$x+9+8-1$$

17 olish uchun 9 va 8'ni qo'shing.

$$x+17-1$$

16 olish uchun 17 dan 1 ni ayirish.

$$x+16$$

x ga nisbatan hosilani topish

$$1$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

6 olish uchun 9 dan 3 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+6+4-1+8-1)$$

10 olish uchun 6 va 4'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+10-1+8-1)$$

9 olish uchun 10 dan 1 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+9+8-1)$$

17 olish uchun 9 va 8'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+17-1)$$

16 olish uchun 17 dan 1 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+16)$$

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

$$x^{1-1}$$

1 dan 1 ni ayirish.

$$x^{0}$$

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

$$1$$