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Exercise

$\frac{d}{dx}\left(e^{3x}+cos\left(x\right)\right)^{\left(x+ln\left(x\right)\right)}$

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Final answer to the exercise

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

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