frac{x^{3}y^{3}z^{3}x^4y^alpha}{xy^alphaz^-1} eching

$$\frac { x ^ { 3 } y ^ { 3 } z ^ { 3 } x ^ { 4 } y ^ { \alpha } } { x y ^ { \alpha } z ^ { - 1 } }$$

x ga nisbatan hosilani topish

$$6y^{3}z^{4}x^{5}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{y^{3}z^{3}x^{4}y^{\alpha }z}{y^{\alpha }}x^{3-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(y^{3}x^{4}z^{4}x^{2})$$

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

$$2y^{3}x^{4}z^{4}x^{2-1}$$

Arifmetik hisobni amalga oshirish.

$$2y^{3}x^{4}z^{4}x^{1}$$

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

$$2y^{3}x^{4}z^{4}x$$

Baholash

$$y^{3}z^{4}x^{6}$$