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Exercise

$\frac{d}{dx}\left(x^x\right)=\:sin\left(x\right)^{lnx}$

Step-by-step Solution

1

The derivative $\frac{d}{dx}\left(x^x\right)$ results in $\left(\ln\left(x\right)+1\right)x^x$

$\left(\ln\left(x\right)+1\right)x^x=\sin\left(x\right)^{\ln\left(x\right)}$

Final answer to the exercise

$\left(\ln\left(x\right)+1\right)x^x=\sin\left(x\right)^{\ln\left(x\right)}$

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