1/2*2x*x+6 eching

$$\frac{ 1 }{ 2 } \times 2x \times x+6$$

Baholash

$$x^{2}+6$$

Yechim qadamlari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$\frac{1}{2}\times 2x^{2}+6$$

2 va 2 ni qisqartiring.

$$x^{2}+6$$

x ga nisbatan hosilani topish

$$2x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2}\times 2x^{2}+6)$$

2 va 2 ni qisqartiring.

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

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

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

2 dan 1 ni ayirish.

$$2x^{1}$$

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

$$2x$$