(x^2-x+1)+(2x^2+x-9) eching

$$( x ^ { 2 } - x + 1 ) + ( 2 x ^ { 2 } + x - 9 )$$

Baholash

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

Yechim qadamlari

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

$$3x^{2}-x+1+x-9$$

0 ni olish uchun -x va x ni birlashtirish.

$$3x^{2}+1-9$$

-8 olish uchun 1 dan 9 ni ayirish.

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

x ga nisbatan hosilani topish

$$6x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-x+1+x-9)$$

0 ni olish uchun -x va x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}+1-9)$$

-8 olish uchun 1 dan 9 ni ayirish.

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

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

$$2\times 3x^{2-1}$$

2 ni 3 marotabaga ko'paytirish.

$$6x^{2-1}$$

2 dan 1 ni ayirish.

$$6x^{1}$$

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

$$6x$$