-52x^3y^2z/13xy^2= eching

$$\frac { - 52 x ^ { 3 } y ^ { 2 } z } { 13 x y ^ { 2 } } =$$

x ga nisbatan hosilani topish

$$-8xz$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{52zy^{2}}{13y^{2}}\right)x^{3-1})$$

Arifmetik hisobni amalga oshirish.

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

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

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

Arifmetik hisobni amalga oshirish.

$$\left(-8z\right)x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$\left(-8z\right)x$$

Baholash

$$-4zx^{2}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 13xy^{2} ni qisqartiring.

$$-4zx^{2}$$