20x^9y/6x*4xy^2 eching

$$\frac { 20 x ^ { 9 } y } { 6 x \cdot 4 x y ^ { 2 } }$$

Baholash

$$\frac{5x^{7}}{6y}$$

Yechim qadamlari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$\frac{20x^{9}y}{6x^{2}\times 4y^{2}}$$

Surat va maxrajdagi ikkala 2\times 2yx^{2} ni qisqartiring.

$$\frac{5x^{7}}{2\times 3y}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{5x^{7}}{6y}$$

x ga nisbatan hosilani topish

$$\frac{35x^{6}}{6y}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{20y}{24xy^{2}}x^{9-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{6xy}x^{8})$$

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

$$8\times \frac{5}{6xy}x^{8-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{20}{3xy}x^{7}$$