9x^3y^5/6x^-6y^-5 eching

$$\frac { 9 x ^ { 3 } y ^ { 5 } } { 6 x ^ { - 6 } y ^ { - 5 } }$$

Baholash

$$\frac{3x^{9}y^{10}}{2}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{3x^{3}y^{5}}{2x^{-6}y^{-5}}$$

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

$$\frac{3x^{9}y^{10}}{2}$$

x ga nisbatan hosilani topish

$$\frac{27x^{8}y^{10}}{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{9y^{5}y^{5}}{6}x^{3-\left(-6\right)})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3y^{10}}{2}x^{9})$$

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

$$9\times \frac{3y^{10}}{2}x^{9-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{27y^{10}}{2}x^{8}$$