-2x/2x^2-13x+21 eching

$$\frac { - 2 x } { 2 x ^ { 2 } - 13 x + 21 }$$

x ga nisbatan hosilani topish

$$\frac{2\left(2x^{2}-21\right)}{\left(\left(x-3\right)\left(2x-7\right)\right)^{2}}$$

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.

$$\frac{\left(2x^{2}-13x^{1}+21\right)\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{1})-\left(-2x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}-13x^{1}+21)\right)}{\left(2x^{2}-13x^{1}+21\right)^{2}}$$

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

$$\frac{\left(2x^{2}-13x^{1}+21\right)\left(-2\right)x^{1-1}-\left(-2x^{1}\left(2\times 2x^{2-1}-13x^{1-1}\right)\right)}{\left(2x^{2}-13x^{1}+21\right)^{2}}$$

Qisqartirish.

$$\frac{\left(2x^{2}-13x^{1}+21\right)\left(-2\right)x^{0}-\left(-2x^{1}\left(4x^{1}-13x^{0}\right)\right)}{\left(2x^{2}-13x^{1}+21\right)^{2}}$$

2x^{2}-13x^{1}+21 ni -2x^{0} marotabaga ko'paytirish.

$$\frac{2x^{2}\left(-2\right)x^{0}-13x^{1}\left(-2\right)x^{0}+21\left(-2\right)x^{0}-\left(-2x^{1}\left(4x^{1}-13x^{0}\right)\right)}{\left(2x^{2}-13x^{1}+21\right)^{2}}$$

-2x^{1} ni 4x^{1}-13x^{0} marotabaga ko'paytirish.

$$\frac{2x^{2}\left(-2\right)x^{0}-13x^{1}\left(-2\right)x^{0}+21\left(-2\right)x^{0}-\left(-2x^{1}\times 4x^{1}-2x^{1}\left(-13\right)x^{0}\right)}{\left(2x^{2}-13x^{1}+21\right)^{2}}$$

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

$$\frac{2\left(-2\right)x^{2}-13\left(-2\right)x^{1}+21\left(-2\right)x^{0}-\left(-2\times 4x^{1+1}-2\left(-13\right)x^{1}\right)}{\left(2x^{2}-13x^{1}+21\right)^{2}}$$

Qisqartirish.

$$\frac{-4x^{2}+26x^{1}-42x^{0}-\left(-8x^{2}+26x^{1}\right)}{\left(2x^{2}-13x^{1}+21\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{4x^{2}-42x^{0}}{\left(2x^{2}-13x^{1}+21\right)^{2}}$$

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

$$\frac{4x^{2}-42x^{0}}{\left(2x^{2}-13x+21\right)^{2}}$$

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

$$\frac{4x^{2}-42}{\left(2x^{2}-13x+21\right)^{2}}$$

Baholash

$$-\frac{2x}{\left(x-3\right)\left(2x-7\right)}$$