(-12/7a^4b^4):(-6/7a^3b^2) eching

$$( - \frac { 12 } { 7 } a ^ { 4 } b ^ { 4 } ) : ( - \frac { 6 } { 7 } a ^ { 3 } b ^ { 2 } )$$

Baholash

$$2ab^{2}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{\left(-\frac{12}{7}\right)^{1}a^{4}b^{4}}{\left(-\frac{6}{7}\right)^{1}a^{3}b^{2}}$$

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

$$\frac{\left(-\frac{12}{7}\right)^{1}}{\left(-\frac{6}{7}\right)^{1}}a^{4-3}b^{4-2}$$

4 dan 3 ni ayirish.

$$\frac{\left(-\frac{12}{7}\right)^{1}}{\left(-\frac{6}{7}\right)^{1}}a^{1}b^{4-2}$$

4 dan 2 ni ayirish.

$$\frac{\left(-\frac{12}{7}\right)^{1}}{\left(-\frac{6}{7}\right)^{1}}ab^{2}$$

-\frac{12}{7} ni -\frac{6}{7} ga bo'lish -\frac{12}{7} ga k'paytirish -\frac{6}{7} ga qaytarish.

$$2ab^{2}$$

a ga nisbatan hosilani topish

$$2b^{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(-\frac{\frac{12b^{4}}{7}}{-\frac{6b^{2}}{7}}\right)a^{4-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(2b^{2}a^{1})$$

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

$$2b^{2}a^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$2b^{2}a^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$2b^{2}\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$2b^{2}$$