12v^5/32v eching

$$\frac { 12 v ^ { 5 } } { 32 v }$$

Baholash

$$\frac{3v^{4}}{8}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{12^{1}v^{5}}{32^{1}v^{1}}$$

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

$$\frac{12^{1}v^{5-1}}{32^{1}}$$

5 dan 1 ni ayirish.

$$\frac{12^{1}v^{4}}{32^{1}}$$

\frac{12}{32} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{8}v^{4}$$

v ga nisbatan hosilani topish

$$\frac{3v^{3}}{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}v}(\frac{12}{32}v^{5-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}v}(\frac{3}{8}v^{4})$$

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

$$4\times \frac{3}{8}v^{4-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{3}{2}v^{3}$$