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

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

x ga nisbatan hosilani topish

$$4\times \left(\frac{y}{x}\right)^{2}z$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{12zy^{3}}{3y^{1}}\right)x^{3-4})$$

Arifmetik hisobni amalga oshirish.

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

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

$$-\left(-4zy^{2}\right)x^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$4zy^{2}x^{-2}$$

Baholash

$$-\frac{4zy^{2}}{x}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3yx^{3} ni qisqartiring.

$$\frac{-4zy^{2}}{x}$$