Final Answer
Step-by-step Solution
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Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$
Learn how to solve integral calculus problems step by step online.
$\frac{d}{dx}\left(x\cdot x\ln\left(x\right)\right)$
Learn how to solve integral calculus problems step by step online. Find the derivative using logarithmic differentiation method d/dx(xln(x^x)). Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). When multiplying two powers that have the same base (x), you can add the exponents. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.