-12x^3y^3z/3x^4y^4 eching

$$\frac { - 12 x ^ { 3 } y ^ { 3 } z } { 3 x ^ { 4 } y ^ { 4 } }$$

x ga nisbatan hosilani topish

$$\frac{4z}{yx^{2}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{12zy^{3}}{3y^{4}}\right)x^{3-4})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{4z}{y}\right)\times \frac{1}{x})$$

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

$$-\left(-\frac{4z}{y}\right)x^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{4z}{y}x^{-2}$$

Baholash

$$-\frac{4z}{xy}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3x^{3}y^{3} ni qisqartiring.

$$\frac{-4z}{xy}$$