4x^7*1/x^3 eching

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

Baholash

$$4x^{4}$$

Yechim qadamlari

4\times \frac{1}{x^{3}} ni yagona kasrga aylantiring.

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

\frac{4}{x^{3}}x^{7} ni yagona kasrga aylantiring.

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

Surat va maxrajdagi ikkala x^{3} ni qisqartiring.

$$4x^{4}$$

x ga nisbatan hosilani topish

$$16x^{3}$$

Derivativ ifodasidan foydalanish qadamlari

4\times \frac{1}{x^{3}} ni yagona kasrga aylantiring.

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

\frac{4}{x^{3}}x^{7} ni yagona kasrga aylantiring.

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

Surat va maxrajdagi ikkala x^{3} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times 4x^{4-1}$$

4 ni 4 marotabaga ko'paytirish.

$$16x^{4-1}$$

4 dan 1 ni ayirish.

$$16x^{3}$$