f(x)=xlnx+x^2ln^3x/x^2lnx eching

$$f ( x ) = \frac { x \ln x + x ^ { 2 } \ln ^ { 3 } x } { x ^ { 2 } \ln x }$$

Baholash

$$3+\frac{1}{x}$$

Qisqa yechim qadamlari

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\frac{1}{\ln(e)}x\left(x\ln(x^{3})+\ln(x)\right)}{\frac{1}{\ln(e)}x^{2}\ln(x)}$$

Surat va maxrajdagi ikkala \frac{1}{\ln(e)}x ni qisqartiring.

$$\frac{x\ln(x^{3})+\ln(x)}{x\ln(x)}$$

Ifodani kengaytiring.

$$\frac{3x\ln(x)+\ln(x)}{x\ln(x)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(3x+1\right)\ln(x)}{x\ln(x)}$$

Surat va maxrajdagi ikkala \ln(x) ni qisqartiring.

$$\frac{3x+1}{x}$$

Omil

$$\frac{3x+1}{x}$$