(2x)+(x-5)+(2x-30)+(6x+3)+(2x-2) eching

$$( 2 x ) + ( x - 5 ) + ( 2 x - 30 ) + ( 6 x + 3 ) + ( 2 x - 2 )$$

Baholash

$$13x-34$$

Yechim qadamlari

3x ni olish uchun 2x va x ni birlashtirish.

$$3x-5+2x-30+6x+3+2x-2$$

5x ni olish uchun 3x va 2x ni birlashtirish.

$$5x-5-30+6x+3+2x-2$$

-35 olish uchun -5 dan 30 ni ayirish.

$$5x-35+6x+3+2x-2$$

11x ni olish uchun 5x va 6x ni birlashtirish.

$$11x-35+3+2x-2$$

-32 olish uchun -35 va 3'ni qo'shing.

$$11x-32+2x-2$$

13x ni olish uchun 11x va 2x ni birlashtirish.

$$13x-32-2$$

-34 olish uchun -32 dan 2 ni ayirish.

$$13x-34$$

x ga nisbatan hosilani topish

$$13$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

3x ni olish uchun 2x va x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x-5+2x-30+6x+3+2x-2)$$

5x ni olish uchun 3x va 2x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x-5-30+6x+3+2x-2)$$

-35 olish uchun -5 dan 30 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x-35+6x+3+2x-2)$$

11x ni olish uchun 5x va 6x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x-35+3+2x-2)$$

-32 olish uchun -35 va 3'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x-32+2x-2)$$

13x ni olish uchun 11x va 2x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(13x-32-2)$$

-34 olish uchun -32 dan 2 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(13x-34)$$

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

$$13x^{1-1}$$

1 dan 1 ni ayirish.

$$13x^{0}$$

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

$$13\times 1$$

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

$$13$$