32x^3/20x eching

$$\frac { 32 x ^ { 3 } } { 20 x }$$

Baholash

$$\frac{8x^{2}}{5}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{32^{1}x^{3}}{20^{1}x^{1}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{32^{1}x^{3-1}}{20^{1}}$$

3 dan 1 ni ayirish.

$$\frac{32^{1}x^{2}}{20^{1}}$$

\frac{32}{20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8}{5}x^{2}$$

x ga nisbatan hosilani topish

$$\frac{16x}{5}$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{32}{20}x^{3-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8}{5}x^{2})$$

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

$$2\times \frac{8}{5}x^{2-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{16}{5}x^{1}$$

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

$$\frac{16}{5}x$$