36p^2qdiv(-9pq) eching

$$36 p ^ { 2 } q \div ( - 9 p q )$$

Baholash

$$-4p$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{36^{1}p^{2}q^{1}}{\left(-9\right)^{1}p^{1}q^{1}}$$

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

$$\frac{36^{1}}{\left(-9\right)^{1}}p^{2-1}q^{1-1}$$

2 dan 1 ni ayirish.

$$\frac{36^{1}}{\left(-9\right)^{1}}p^{1}q^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{36^{1}}{\left(-9\right)^{1}}pq^{0}$$

Har qanday a raqami uchun (0 bundan mustasno) a^{0}=1.

$$\frac{36^{1}}{\left(-9\right)^{1}}p$$

36 ni -9 ga bo'lish.

$$-4p$$

p ga nisbatan hosilani topish

$$-4$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}p}(\frac{36q}{-9q}p^{2-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}p}(-4p^{1})$$

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

$$-4p^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$-4p^{0}$$

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

$$-4$$