xdxdivd(5x^2) eching

$$x d x \div d ( 5 x ^ { 2 } )$$

Baholash

$$5x^{4}$$

Yechim qadamlari

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

$$\frac{x^{2}d}{d}\times 5x^{2}$$

Surat va maxrajdagi ikkala d ni qisqartiring.

$$x^{2}\times 5x^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$x^{4}\times 5$$

x ga nisbatan hosilani topish

$$20x^{3}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}d}{d}\times 5x^{2})$$

Surat va maxrajdagi ikkala d ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times 5x^{2})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}\times 5)$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times 5x^{4-1}$$

4 ni 5 marotabaga ko'paytirish.

$$20x^{4-1}$$

4 dan 1 ni ayirish.

$$20x^{3}$$