(w^7)^frac{3{8}} eching

$$( w ^ { 7 } ) ^ { \frac { 3 } { 8 } }$$

w ga nisbatan hosilani topish

$$\frac{21w^{\frac{13}{8}}}{8}$$

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.

$$\frac{3}{8}\left(w^{7}\right)^{\frac{3}{8}-1}\frac{\mathrm{d}}{\mathrm{d}w}(w^{7})$$

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

$$\frac{3}{8}\left(w^{7}\right)^{-\frac{5}{8}}\times 7w^{7-1}$$

Qisqartirish.

$$\frac{21}{8}w^{6}\left(w^{7}\right)^{-\frac{5}{8}}$$

Baholash

$$w^{\frac{21}{8}}$$