Question
Use logarithmic differentiation to find the derivative of $y$ with respect to the given independent variable.$y=x^{(x+1)}$
Step 1
To make the differentiation easier, we take the natural logarithm of both sides. Using the property of logarithms that allows us to move the exponent to the front, we get: \[\ln(y) = (x+1)\ln(x)\] Show more…
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