{left(x^2right)}^frac{5{14}} eching

$${ \left( { x }^{ 2 } \right) }^{ \frac{ 5 }{ 14 } }$$

x ga nisbatan hosilani topish

$$\frac{5|x|}{7x^{\frac{9}{7}}}$$

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.

$$\frac{5}{14}\left(x^{2}\right)^{\frac{5}{14}-1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{2})$$

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

$$\frac{5}{14}\left(x^{2}\right)^{-\frac{9}{14}}\times 2x^{2-1}$$

Qisqartirish.

$$\frac{5}{7}x^{1}\left(x^{2}\right)^{-\frac{9}{14}}$$

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

$$\frac{5}{7}x\left(x^{2}\right)^{-\frac{9}{14}}$$

Baholash

$$\left(|x|\right)^{\frac{5}{7}}$$