9x/4x-8 eching

$$\frac { 9 x } { 4 x - 8 }$$

x ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

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

$$\frac{\left(4x^{1}-8\right)\frac{\mathrm{d}}{\mathrm{d}x}(9x^{1})-9x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(4x^{1}-8)}{\left(4x^{1}-8\right)^{2}}$$

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

$$\frac{\left(4x^{1}-8\right)\times 9x^{1-1}-9x^{1}\times 4x^{1-1}}{\left(4x^{1}-8\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(4x^{1}-8\right)\times 9x^{0}-9x^{1}\times 4x^{0}}{\left(4x^{1}-8\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{4x^{1}\times 9x^{0}-8\times 9x^{0}-9x^{1}\times 4x^{0}}{\left(4x^{1}-8\right)^{2}}$$

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

$$\frac{4\times 9x^{1}-8\times 9x^{0}-9\times 4x^{1}}{\left(4x^{1}-8\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{36x^{1}-72x^{0}-36x^{1}}{\left(4x^{1}-8\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(36-36\right)x^{1}-72x^{0}}{\left(4x^{1}-8\right)^{2}}$$

36 dan 36 ni ayirish.

$$\frac{-72x^{0}}{\left(4x^{1}-8\right)^{2}}$$

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

$$\frac{-72x^{0}}{\left(4x-8\right)^{2}}$$

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

$$\frac{-72}{\left(4x-8\right)^{2}}$$

Baholash

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