Final answer to the problem
Step-by-step Solution
Specify the solving method
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
Learn how to solve integrals of exponential functions problems step by step online.
$\frac{d}{dx}\left(x^x\right)\mathrm{cosh}\left(8x\right)^x+x^x\frac{d}{dx}\left(\mathrm{cosh}\left(8x\right)^x\right)$
Learn how to solve integrals of exponential functions problems step by step online. Find the derivative of 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)}.