x/8x+49 eching

$$\frac { x } { 8 x + 49 }$$

x ga nisbatan hosilani topish

$$\frac{49}{\left(8x+49\right)^{2}}$$

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.

$$\frac{\left(8x^{1}+49\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1})-x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(8x^{1}+49)}{\left(8x^{1}+49\right)^{2}}$$

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

$$\frac{\left(8x^{1}+49\right)x^{1-1}-x^{1}\times 8x^{1-1}}{\left(8x^{1}+49\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(8x^{1}+49\right)x^{0}-x^{1}\times 8x^{0}}{\left(8x^{1}+49\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{8x^{1}x^{0}+49x^{0}-x^{1}\times 8x^{0}}{\left(8x^{1}+49\right)^{2}}$$

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

$$\frac{8x^{1}+49x^{0}-8x^{1}}{\left(8x^{1}+49\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(8-8\right)x^{1}+49x^{0}}{\left(8x^{1}+49\right)^{2}}$$

8 dan 8 ni ayirish.

$$\frac{49x^{0}}{\left(8x^{1}+49\right)^{2}}$$

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

$$\frac{49x^{0}}{\left(8x+49\right)^{2}}$$

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

$$\frac{49\times 1}{\left(8x+49\right)^{2}}$$

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

$$\frac{49}{\left(8x+49\right)^{2}}$$

Baholash

$$\frac{x}{8x+49}$$