frac{10a^{9}b^{8}cd^5}{10a^3b^5cd^3} eching

$$\frac { 10 a ^ { 9 } b ^ { 8 } c d ^ { 5 } } { 10 a ^ { 3 } b ^ { 5 } c d ^ { 3 } }$$

a ga nisbatan hosilani topish

$$6d^{2}b^{3}a^{5}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{10cd^{5}b^{8}}{10cd^{3}b^{5}}a^{9-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(d^{2}b^{3}a^{6})$$

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

$$6d^{2}b^{3}a^{6-1}$$

Arifmetik hisobni amalga oshirish.

$$6d^{2}b^{3}a^{5}$$

Baholash

$$d^{2}b^{3}a^{6}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 10ca^{3}d^{3}b^{5} ni qisqartiring.

$$d^{2}b^{3}a^{6}$$