1/3x^2 eching

$$\frac{ 1 }{ 3 { x }^{ 2 } }$$

Baholash

$$\frac{1}{3x^{2}}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{1}{3x^{2}}$$

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

$$\frac{1}{3}\times \frac{1}{x^{2}}$$

x ga nisbatan hosilani topish

$$-\frac{2}{3x^{3}}$$

Zanjirli qoidadan foydalanish qadamalari

Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.

$$-\left(3x^{2}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2})$$

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

$$-\left(3x^{2}\right)^{-2}\times 2\times 3x^{2-1}$$

Qisqartirish.

$$-6x^{1}\times \left(3x^{2}\right)^{-2}$$

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

$$-6x\times \left(3x^{2}\right)^{-2}$$