frac{4a^{2}b^2c^2}{-16a^3c^2} eching

$$\frac { 4 a ^ { 2 } b ^ { 2 } c ^ { 2 } } { - 16 a ^ { 3 } c ^ { 2 } }$$

a ga nisbatan hosilani topish

$$\frac{\left(\frac{b}{a}\right)^{2}}{4}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4b^{2}c^{2}}{-16c^{2}}a^{2-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(-\frac{b^{2}}{4}\right)\times \frac{1}{a})$$

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

$$-\left(-\frac{b^{2}}{4}\right)a^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{b^{2}}{4}a^{-2}$$

Baholash

$$-\frac{b^{2}}{4a}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 4a^{2}c^{2} ni qisqartiring.

$$\frac{b^{2}}{-4a}$$