(y+sqrt{6})(y-sqrt{6}) eching

$$( y + \sqrt { 6 } ) ( y - \sqrt { 6 } )$$

Baholash

$$y^{2}-6$$

Yechim qadamlari

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$y^{2}-\left(\sqrt{6}\right)^{2}$$

\sqrt{6} kvadrati – 6.

$$y^{2}-6$$

y ga nisbatan hosilani topish

$$2y$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

Hisoblang: \left(y+\sqrt{6}\right)\left(y-\sqrt{6}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{2}-\left(\sqrt{6}\right)^{2})$$

\sqrt{6} kvadrati – 6.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{2}-6)$$

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

$$2y^{2-1}$$

2 dan 1 ni ayirish.

$$2y^{1}$$

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

$$2y$$