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$\frac{\frac{1}{-\frac{1}{2}+x}+2}{x}$
Learn how to solve problems step by step online. Find the derivative using the product rule (1/(-1/2+x)+2)/x. Simplifying. Combine \frac{1}{-\frac{1}{2}+x}+2 in a single fraction. Divide fractions \frac{\frac{1+2\left(-\frac{1}{2}+x\right)}{-\frac{1}{2}+x}}{x} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Simplify the derivative.