6x^2y^3zdiv(-2xy) eching

$$6 x ^ { 2 } y ^ { 3 } z \div ( - 2 x y )$$

Baholash

$$-3xzy^{2}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2xy ni qisqartiring.

$$\frac{3xzy^{2}}{-1}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$-3xzy^{2}$$

x ga nisbatan hosilani topish

$$-3zy^{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6zy^{3}}{-2y}x^{2-1})$$

Arifmetik hisobni amalga oshirish.

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

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

$$\left(-3zy^{2}\right)x^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$\left(-3zy^{2}\right)x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$\left(-3zy^{2}\right)\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$-3zy^{2}$$