y^-6/y^7 eching

$$\frac { y ^ { - 6 } } { y ^ { 7 } }$$

y ga nisbatan hosilani topish

$$-\frac{13}{y^{14}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{1}y^{-6-7})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{-13})$$

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

$$-13y^{-13-1}$$

Arifmetik hisobni amalga oshirish.

$$-13y^{-14}$$

Baholash

$$\frac{1}{y^{13}}$$

Yechim qadamlari

y^{7} ni y^{-6}y^{13} sifatida qaytadan yozish. Surat va maxrajdagi ikkala y^{-6} ni qisqartiring.

$$\frac{1}{y^{13}}$$