Final answer to the problem
$\left(\left(1+\frac{-2}{x^2}\right)\ln\left(x\right)+\left(x+\frac{2}{x}\right)\frac{1}{x}\right)x^{\left(x+\frac{2}{x}\right)}$
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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(x^{\left(x+2\left(\frac{1}{x}\right)\right)}+17\right)$
Learn how to solve problems step by step online. Find the derivative of x^xx^2^(1/x)+17. Simplify the derivative by applying the properties of logarithms. Multiply the fraction by the term 2. The derivative of a sum of two or more functions is the sum of the derivatives of each function. To derive the function x^{\left(x+\frac{2}{x}\right)}, use the method of logarithmic differentiation. First, assign the function to y, then take the natural logarithm of both sides of the equation.
Final answer to the problem
$\left(\left(1+\frac{-2}{x^2}\right)\ln\left(x\right)+\left(x+\frac{2}{x}\right)\frac{1}{x}\right)x^{\left(x+\frac{2}{x}\right)}$
