xsqrt{100}-3^2 eching

$$x \sqrt { 100 } - 3 ^ { 2 }$$

Baholash

$$10x-9$$

Yechim qadamlari

100 ning kvadrat ildizini hisoblab, 10 natijaga ega bo‘ling.

$$x\times 10-3^{2}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$x\times 10-9$$

x ga nisbatan hosilani topish

$$10$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

100 ning kvadrat ildizini hisoblab, 10 natijaga ega bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 10-3^{2})$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 10-9)$$

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

$$10x^{1-1}$$

1 dan 1 ni ayirish.

$$10x^{0}$$

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

$$10\times 1$$

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

$$10$$