4c/16c^2-9 eching

$$\frac { 4 c } { 16 c ^ { 2 } - 9 }$$

c ga nisbatan hosilani topish

$$-\frac{4\left(16c^{2}+9\right)}{\left(16c^{2}-9\right)^{2}}$$

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.

$$\frac{\left(16c^{2}-9\right)\frac{\mathrm{d}}{\mathrm{d}c}(4c^{1})-4c^{1}\frac{\mathrm{d}}{\mathrm{d}c}(16c^{2}-9)}{\left(16c^{2}-9\right)^{2}}$$

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

$$\frac{\left(16c^{2}-9\right)\times 4c^{1-1}-4c^{1}\times 2\times 16c^{2-1}}{\left(16c^{2}-9\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(16c^{2}-9\right)\times 4c^{0}-4c^{1}\times 32c^{1}}{\left(16c^{2}-9\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{16c^{2}\times 4c^{0}-9\times 4c^{0}-4c^{1}\times 32c^{1}}{\left(16c^{2}-9\right)^{2}}$$

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

$$\frac{16\times 4c^{2}-9\times 4c^{0}-4\times 32c^{1+1}}{\left(16c^{2}-9\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{64c^{2}-36c^{0}-128c^{2}}{\left(16c^{2}-9\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(64-128\right)c^{2}-36c^{0}}{\left(16c^{2}-9\right)^{2}}$$

64 dan 128 ni ayirish.

$$\frac{-64c^{2}-36c^{0}}{\left(16c^{2}-9\right)^{2}}$$

4 omili.

$$\frac{4\left(-16c^{2}-9c^{0}\right)}{\left(16c^{2}-9\right)^{2}}$$

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

$$\frac{4\left(-16c^{2}-9\right)}{\left(16c^{2}-9\right)^{2}}$$

Baholash

$$\frac{4c}{16c^{2}-9}$$