-48x^2yz^2/64x^3y^2z eching

$$\frac { - 48 x ^ { 2 } y z ^ { 2 } } { 64 x ^ { 3 } y ^ { 2 } z }$$

x ga nisbatan hosilani topish

$$\frac{3z}{4yx^{2}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{48yz^{2}}{64zy^{2}}\right)x^{2-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{3z}{4y}\right)\times \frac{1}{x})$$

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

$$-\left(-\frac{3z}{4y}\right)x^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{3z}{4y}x^{-2}$$

Baholash

$$-\frac{3z}{4xy}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 16yzx^{2} ni qisqartiring.

$$\frac{-3z}{4xy}$$