frac{3x^frac{1{4}}}{5x^2} eching

$$\frac { 3 x ^ { \frac { 1 } { 4 } } } { 5 x ^ { 2 } }$$

Baholash

$$\frac{3}{5x^{\frac{7}{4}}}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{3^{1}\sqrt[4]{x}}{5^{1}x^{2}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{3^{1}x^{\frac{1}{4}-2}}{5^{1}}$$

\frac{1}{4} dan 2 ni ayirish.

$$\frac{3^{1}x^{-\frac{7}{4}}}{5^{1}}$$

3 ni 5 ga bo'lish.

$$\frac{3}{5}x^{-\frac{7}{4}}$$

x ga nisbatan hosilani topish

$$-\frac{21}{20x^{\frac{11}{4}}}$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{5}x^{\frac{1}{4}-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{5}x^{-\frac{7}{4}})$$

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

$$-\frac{7}{4}\times \frac{3}{5}x^{-\frac{7}{4}-1}$$

Arifmetik hisobni amalga oshirish.

$$-\frac{21}{20}x^{-\frac{11}{4}}$$