x^2+sqrt{10^2} eching

$$x ^ { 2 } + \sqrt { 10 ^ { 2 } }$$

Baholash

$$x^{2}+10$$

Yechim qadamlari

2 daraja ko‘rsatkichini 10 ga hisoblang va 100 ni qiymatni oling.

$$x^{2}+\sqrt{100}$$

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

$$x^{2}+10$$

x ga nisbatan hosilani topish

$$2x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

2 daraja ko‘rsatkichini 10 ga hisoblang va 100 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+\sqrt{100})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+10)$$

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.

$$2x$$