-6d^2/2d-5 eching

$$\frac { - 6 d ^ { 2 } } { 2 d - 5 }$$

d ga nisbatan hosilani topish

$$\frac{12d\left(5-d\right)}{\left(2d-5\right)^{2}}$$

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.

$$\frac{\left(2d^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}d}(-6d^{2})-\left(-6d^{2}\frac{\mathrm{d}}{\mathrm{d}d}(2d^{1}-5)\right)}{\left(2d^{1}-5\right)^{2}}$$

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

$$\frac{\left(2d^{1}-5\right)\times 2\left(-6\right)d^{2-1}-\left(-6d^{2}\times 2d^{1-1}\right)}{\left(2d^{1}-5\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(2d^{1}-5\right)\left(-12\right)d^{1}-\left(-6d^{2}\times 2d^{0}\right)}{\left(2d^{1}-5\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{2d^{1}\left(-12\right)d^{1}-5\left(-12\right)d^{1}-\left(-6d^{2}\times 2d^{0}\right)}{\left(2d^{1}-5\right)^{2}}$$

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

$$\frac{2\left(-12\right)d^{1+1}-5\left(-12\right)d^{1}-\left(-6\times 2d^{2}\right)}{\left(2d^{1}-5\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{-24d^{2}+60d^{1}-\left(-12d^{2}\right)}{\left(2d^{1}-5\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(-24-\left(-12\right)\right)d^{2}+60d^{1}}{\left(2d^{1}-5\right)^{2}}$$

-24 dan -12 ni ayirish.

$$\frac{-12d^{2}+60d^{1}}{\left(2d^{1}-5\right)^{2}}$$

12d omili.

$$\frac{12d\left(-d^{1}+5d^{0}\right)}{\left(2d^{1}-5\right)^{2}}$$

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

$$\frac{12d\left(-d+5d^{0}\right)}{\left(2d-5\right)^{2}}$$

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

$$\frac{12d\left(-d+5\times 1\right)}{\left(2d-5\right)^{2}}$$

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

$$\frac{12d\left(-d+5\right)}{\left(2d-5\right)^{2}}$$

Baholash

$$-\frac{6d^{2}}{2d-5}$$