10/x-3-3 eching

$$\frac { 10 } { x - 3 } - 3$$

Baholash

$$\frac{19-3x}{x-3}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{x-3}{x-3} marotabaga ko'paytirish.

$$\frac{10}{x-3}-\frac{3\left(x-3\right)}{x-3}$$

\frac{10}{x-3} va \frac{3\left(x-3\right)}{x-3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{10-3\left(x-3\right)}{x-3}$$

10-3\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{10-3x+9}{x-3}$$

10-3x+9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{19-3x}{x-3}$$

x ga nisbatan hosilani topish

$$-\frac{10}{\left(x-3\right)^{2}}$$

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 ni \frac{x-3}{x-3} marotabaga ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10}{x-3}-\frac{3\left(x-3\right)}{x-3})$$

\frac{10}{x-3} va \frac{3\left(x-3\right)}{x-3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10-3\left(x-3\right)}{x-3})$$

10-3\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10-3x+9}{x-3})$$

10-3x+9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{19-3x}{x-3})$$

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

$$\frac{\left(x^{1}-3\right)\frac{\mathrm{d}}{\mathrm{d}x}(-3x^{1}+19)-\left(-3x^{1}+19\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-3)}{\left(x^{1}-3\right)^{2}}$$

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

$$\frac{\left(x^{1}-3\right)\left(-3\right)x^{1-1}-\left(-3x^{1}+19\right)x^{1-1}}{\left(x^{1}-3\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(x^{1}-3\right)\left(-3\right)x^{0}-\left(-3x^{1}+19\right)x^{0}}{\left(x^{1}-3\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{x^{1}\left(-3\right)x^{0}-3\left(-3\right)x^{0}-\left(-3x^{1}x^{0}+19x^{0}\right)}{\left(x^{1}-3\right)^{2}}$$

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

$$\frac{-3x^{1}-3\left(-3\right)x^{0}-\left(-3x^{1}+19x^{0}\right)}{\left(x^{1}-3\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{-3x^{1}+9x^{0}-\left(-3x^{1}+19x^{0}\right)}{\left(x^{1}-3\right)^{2}}$$

Keraksiz qavslarni olib tashlash.

$$\frac{-3x^{1}+9x^{0}-\left(-3x^{1}\right)-19x^{0}}{\left(x^{1}-3\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(-3-\left(-3\right)\right)x^{1}+\left(9-19\right)x^{0}}{\left(x^{1}-3\right)^{2}}$$

-3 dan -3 ni va 9 dan 19 ni ayiring.

$$\frac{-10x^{0}}{\left(x^{1}-3\right)^{2}}$$

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

$$\frac{-10x^{0}}{\left(x-3\right)^{2}}$$

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

$$\frac{-10}{\left(x-3\right)^{2}}$$