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Learn how to solve integrals involving logarithmic functions problems step by step online.
$\frac{d}{dx}\left(\frac{\frac{1}{-\frac{1}{2}+x}+2}{x}\right)$
Learn how to solve integrals involving logarithmic functions problems step by step online. Find the derivative using logarithmic differentiation method (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}. To derive the function \frac{1+2\left(-\frac{1}{2}+x\right)}{\left(-\frac{1}{2}+x\right)x}, use the method of logarithmic differentiation. First, assign the function to y, then take the natural logarithm of both sides of the equation.