Solving: $\frac{d}{dx}\left(x^x\frac{\left(x^2+1\right)^3\sqrt{x}}{\left(x-2\right)^4}\right)$
Exercise
$\frac{dy}{dx}\left(x^x\right)\left(\frac{\left(x^2+1\right)^3\sqrt{x}}{\left(x-2\right)^4}\right)$
Step-by-step Solution
Final answer to the exercise
$\frac{\left(6\left(x^2+1\right)^{2}x^{\left(\frac{3}{2}+x\right)}+\left(x^2+1\right)^3\left(\ln\left(x\right)+\left(\frac{1}{2}+x\right)\frac{1}{x}\right)x^{\left(\frac{1}{2}+x\right)}\right)\left(x-2\right)^4-4\left(x^2+1\right)^3x^{\left(\frac{1}{2}+x\right)}\left(x-2\right)^{3}}{\left(x-2\right)^{8}}$