7-4/b-9 eching

$$7 - \frac { 4 } { b - 9 }$$

Baholash

$$\frac{7b-67}{b-9}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 7 ni \frac{b-9}{b-9} marotabaga ko'paytirish.

$$\frac{7\left(b-9\right)}{b-9}-\frac{4}{b-9}$$

\frac{7\left(b-9\right)}{b-9} va \frac{4}{b-9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{7\left(b-9\right)-4}{b-9}$$

7\left(b-9\right)-4 ichidagi ko‘paytirishlarni bajaring.

$$\frac{7b-63-4}{b-9}$$

7b-63-4 kabi iboralarga o‘xshab birlashtiring.

$$\frac{7b-67}{b-9}$$

b ga nisbatan hosilani topish

$$\frac{4}{\left(b-9\right)^{2}}$$

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 7 ni \frac{b-9}{b-9} marotabaga ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{7\left(b-9\right)}{b-9}-\frac{4}{b-9})$$

\frac{7\left(b-9\right)}{b-9} va \frac{4}{b-9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{7\left(b-9\right)-4}{b-9})$$

7\left(b-9\right)-4 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{7b-63-4}{b-9})$$

7b-63-4 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{7b-67}{b-9})$$

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

$$\frac{\left(b^{1}-9\right)\frac{\mathrm{d}}{\mathrm{d}b}(7b^{1}-67)-\left(7b^{1}-67\right)\frac{\mathrm{d}}{\mathrm{d}b}(b^{1}-9)}{\left(b^{1}-9\right)^{2}}$$

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

$$\frac{\left(b^{1}-9\right)\times 7b^{1-1}-\left(7b^{1}-67\right)b^{1-1}}{\left(b^{1}-9\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(b^{1}-9\right)\times 7b^{0}-\left(7b^{1}-67\right)b^{0}}{\left(b^{1}-9\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{b^{1}\times 7b^{0}-9\times 7b^{0}-\left(7b^{1}b^{0}-67b^{0}\right)}{\left(b^{1}-9\right)^{2}}$$

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

$$\frac{7b^{1}-9\times 7b^{0}-\left(7b^{1}-67b^{0}\right)}{\left(b^{1}-9\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{7b^{1}-63b^{0}-\left(7b^{1}-67b^{0}\right)}{\left(b^{1}-9\right)^{2}}$$

Keraksiz qavslarni olib tashlash.

$$\frac{7b^{1}-63b^{0}-7b^{1}-\left(-67b^{0}\right)}{\left(b^{1}-9\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(7-7\right)b^{1}+\left(-63-\left(-67\right)\right)b^{0}}{\left(b^{1}-9\right)^{2}}$$

7 dan 7 ni va -63 dan -67 ni ayiring.

$$\frac{4b^{0}}{\left(b^{1}-9\right)^{2}}$$

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

$$\frac{4b^{0}}{\left(b-9\right)^{2}}$$

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

$$\frac{4\times 1}{\left(b-9\right)^{2}}$$

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

$$\frac{4}{\left(b-9\right)^{2}}$$