7x^2+4-x^2-3x+7 eching

$$7 x ^ { 2 } + 4 - x ^ { 2 } - 3 x + 7$$

Baholash

$$6x^{2}-3x+11$$

Yechim qadamlari

6x^{2} ni olish uchun 7x^{2} va -x^{2} ni birlashtirish.

$$6x^{2}+4-3x+7$$

11 olish uchun 4 va 7'ni qo'shing.

$$6x^{2}+11-3x$$

x ga nisbatan hosilani topish

$$12x-3$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

6x^{2} ni olish uchun 7x^{2} va -x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{2}+4-3x+7)$$

11 olish uchun 4 va 7'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{2}+11-3x)$$

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

$$2\times 6x^{2-1}-3x^{1-1}$$

2 ni 6 marotabaga ko'paytirish.

$$12x^{2-1}-3x^{1-1}$$

2 dan 1 ni ayirish.

$$12x^{1}-3x^{1-1}$$

1 dan 1 ni ayirish.

$$12x^{1}-3x^{0}$$

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

$$12x-3x^{0}$$

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

$$12x-3$$