34x^10y^8/2x^8y^6 eching

$$\frac { 34 x ^ { 10 } y ^ { 8 } } { 2 x ^ { 8 } y ^ { 6 } }$$

Baholash

$$17\left(xy\right)^{2}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{34^{1}x^{10}y^{8}}{2^{1}x^{8}y^{6}}$$

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

$$\frac{34^{1}}{2^{1}}x^{10-8}y^{8-6}$$

10 dan 8 ni ayirish.

$$\frac{34^{1}}{2^{1}}x^{2}y^{8-6}$$

8 dan 6 ni ayirish.

$$\frac{34^{1}}{2^{1}}x^{2}y^{2}$$

34 ni 2 ga bo'lish.

$$17x^{2}y^{2}$$

x ga nisbatan hosilani topish

$$34xy^{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{34y^{8}}{2y^{6}}x^{10-8})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17y^{2}x^{2})$$

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

$$2\times 17y^{2}x^{2-1}$$

Arifmetik hisobni amalga oshirish.

$$34y^{2}x^{1}$$

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

$$34y^{2}x$$