30x^4y^3/-6x^7y eching

$$\frac { 30 x ^ { 4 } y ^ { 3 } } { - 6 x ^ { 7 } y }$$

Baholash

$$-\frac{5y^{2}}{x^{3}}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{30^{1}x^{4}y^{3}}{\left(-6\right)^{1}x^{7}y^{1}}$$

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

$$\frac{30^{1}}{\left(-6\right)^{1}}x^{4-7}y^{3-1}$$

4 dan 7 ni ayirish.

$$\frac{30^{1}}{\left(-6\right)^{1}}x^{-3}y^{3-1}$$

3 dan 1 ni ayirish.

$$\frac{30^{1}}{\left(-6\right)^{1}}\times \frac{1}{x^{3}}y^{2}$$

30 ni -6 ga bo'lish.

$$-5\times \frac{1}{x^{3}}y^{2}$$

x ga nisbatan hosilani topish

$$\frac{15y^{2}}{x^{4}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{30y^{3}}{-6y}x^{4-7})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-5y^{2}\right)x^{-3})$$

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

$$-3\left(-5y^{2}\right)x^{-3-1}$$

Arifmetik hisobni amalga oshirish.

$$15y^{2}x^{-4}$$