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Learn how to solve problems step by step online. Find the derivative of d/dx(x^xcosh(8x)^x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative \frac{d}{dx}\left(x^x\right) results in \left(\ln\left(x\right)+1\right)x^x. The derivative \frac{d}{dx}\left(\mathrm{cosh}\left(8x\right)^x\right) results in \left(\ln\left(\mathrm{cosh}\left(8x\right)\right)\mathrm{cosh}\left(8x\right)+8x\mathrm{sinh}\left(8x\right)\right)\mathrm{cosh}\left(8x\right)^{\left(x-1\right)}.
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