49b^2/49b^2-4div49b/63b+18 eching

$$\frac { 49 b ^ { 2 } } { 49 b ^ { 2 } - 4 } \div \frac { 49 b } { 63 b + 18 }$$

Baholash

$$\frac{9b}{7b-2}$$

Qisqa yechim qadamlari

\frac{49b^{2}}{49b^{2}-4} ni \frac{49b}{63b+18} ga bo'lish \frac{49b^{2}}{49b^{2}-4} ga k'paytirish \frac{49b}{63b+18} ga qaytarish.

$$\frac{49b^{2}\left(63b+18\right)}{\left(49b^{2}-4\right)\times 49b}$$

Surat va maxrajdagi ikkala 49b ni qisqartiring.

$$\frac{b\left(63b+18\right)}{49b^{2}-4}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{9b\left(7b+2\right)}{\left(7b-2\right)\left(7b+2\right)}$$

Surat va maxrajdagi ikkala 7b+2 ni qisqartiring.

$$\frac{9b}{7b-2}$$

b ga nisbatan hosilani topish

$$-\frac{18}{\left(7b-2\right)^{2}}$$

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

\frac{49b^{2}}{49b^{2}-4} ni \frac{49b}{63b+18} ga bo'lish \frac{49b^{2}}{49b^{2}-4} ga k'paytirish \frac{49b}{63b+18} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{49b^{2}\left(63b+18\right)}{\left(49b^{2}-4\right)\times 49b})$$

Surat va maxrajdagi ikkala 49b ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{b\left(63b+18\right)}{49b^{2}-4})$$

\frac{b\left(63b+18\right)}{49b^{2}-4} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{9b\left(7b+2\right)}{\left(7b-2\right)\left(7b+2\right)})$$

Surat va maxrajdagi ikkala 7b+2 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{9b}{7b-2})$$

Har qanday ikki differensial funksiya uchun ikki funksiyaning koeffitsient hosilasi raqamlagichning hosila marotabasi maxraj minusi va barchasi kvadrat maxrajiga bo'lingan.

$$\frac{\left(7b^{1}-2\right)\frac{\mathrm{d}}{\mathrm{d}b}(9b^{1})-9b^{1}\frac{\mathrm{d}}{\mathrm{d}b}(7b^{1}-2)}{\left(7b^{1}-2\right)^{2}}$$

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

$$\frac{\left(7b^{1}-2\right)\times 9b^{1-1}-9b^{1}\times 7b^{1-1}}{\left(7b^{1}-2\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(7b^{1}-2\right)\times 9b^{0}-9b^{1}\times 7b^{0}}{\left(7b^{1}-2\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{7b^{1}\times 9b^{0}-2\times 9b^{0}-9b^{1}\times 7b^{0}}{\left(7b^{1}-2\right)^{2}}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$\frac{7\times 9b^{1}-2\times 9b^{0}-9\times 7b^{1}}{\left(7b^{1}-2\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{63b^{1}-18b^{0}-63b^{1}}{\left(7b^{1}-2\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(63-63\right)b^{1}-18b^{0}}{\left(7b^{1}-2\right)^{2}}$$

63 dan 63 ni ayirish.

$$\frac{-18b^{0}}{\left(7b^{1}-2\right)^{2}}$$

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

$$\frac{-18b^{0}}{\left(7b-2\right)^{2}}$$

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

$$\frac{-18}{\left(7b-2\right)^{2}}$$