20v^8/5v eching

$$\frac { 20 v ^ { 8 } } { 5 v }$$

Baholash

$$4v^{7}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{20^{1}v^{8}}{5^{1}v^{1}}$$

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

$$\frac{20^{1}v^{8-1}}{5^{1}}$$

8 dan 1 ni ayirish.

$$\frac{20^{1}v^{7}}{5^{1}}$$

20 ni 5 ga bo'lish.

$$4v^{7}$$

v ga nisbatan hosilani topish

$$28v^{6}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}v}(\frac{20}{5}v^{8-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}v}(4v^{7})$$

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

$$7\times 4v^{7-1}$$

Arifmetik hisobni amalga oshirish.

$$28v^{6}$$