sqrt{48}xsqrt{12} eching

$$\sqrt { 48 } x \sqrt { 12 }$$

Baholash

$$24x$$

Yechim qadamlari

Faktor: 48=12\times 4. \sqrt{12\times 4} koʻpaytmasining kvadrat ildizini \sqrt{12}\sqrt{4} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing.

$$\sqrt{12}\sqrt{4}x\sqrt{12}$$

12 hosil qilish uchun \sqrt{12} va \sqrt{12} ni ko'paytirish.

$$12x\sqrt{4}$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$12x\times 2$$

24 hosil qilish uchun 12 va 2 ni ko'paytirish.

$$24x$$

x ga nisbatan hosilani topish

$$24$$

Derivativ ifodasidan foydalanish qadamlari

Faktor: 48=12\times 4. \sqrt{12\times 4} koʻpaytmasining kvadrat ildizini \sqrt{12}\sqrt{4} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\sqrt{12}\sqrt{4}x\sqrt{12})$$

12 hosil qilish uchun \sqrt{12} va \sqrt{12} ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x\sqrt{4})$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x\times 2)$$

24 hosil qilish uchun 12 va 2 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(24x)$$

ax^{n} hosilasi – nax^{n-1}.

$$24x^{1-1}$$

1 dan 1 ni ayirish.

$$24x^{0}$$

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

$$24\times 1$$

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

$$24$$