-8a^3b^5/4a^4b^4 eching

$$\frac { - 8 a ^ { 3 } b ^ { 5 } } { 4 a ^ { 4 } b ^ { 4 } }$$

Baholash

$$-\frac{2b}{a}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{\left(-8\right)^{1}a^{3}b^{5}}{4^{1}a^{4}b^{4}}$$

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

$$\frac{\left(-8\right)^{1}}{4^{1}}a^{3-4}b^{5-4}$$

3 dan 4 ni ayirish.

$$\frac{\left(-8\right)^{1}}{4^{1}}\times \frac{1}{a}b^{5-4}$$

5 dan 4 ni ayirish.

$$\frac{\left(-8\right)^{1}}{4^{1}}\times \frac{1}{a}b^{1}$$

-8 ni 4 ga bo'lish.

$$-2\times \frac{1}{a}b$$

a ga nisbatan hosilani topish

$$\frac{2b}{a^{2}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(-\frac{8b^{5}}{4b^{4}}\right)a^{3-4})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(-2b\right)\times \frac{1}{a})$$

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

$$-\left(-2b\right)a^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$2ba^{-2}$$