Final answer to the problem
$\left(\ln\left(x\right)+1\right)x^x=\left(8x-3\right)^3\left(6x^2+2\right)^2$
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- Find the derivative using the definition
- Exact Differential Equation
- Linear Differential Equation
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The derivative $\frac{d}{dx}\left(x^x\right)$ results in $\left(\ln\left(x\right)+1\right)x^x$
$\left(\ln\left(x\right)+1\right)x^x=\left(8x-3\right)^3\left(6x^2+2\right)^2$
Final answer to the problem
$\left(\ln\left(x\right)+1\right)x^x=\left(8x-3\right)^3\left(6x^2+2\right)^2$