Final Answer
Step-by-step Solution
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Apply natural logarithm to both sides of the equality
Learn how to solve differential calculus problems step by step online.
$\ln\left(y\right)=\ln\left(\left(\sqrt{x}\right)^x\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of y=x^1/2^x. Apply natural logarithm to both sides of the equality. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Derive both sides of the equality with respect to x. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=\ln\left(\sqrt{x}\right).