Finding the Derivative of x^(2x) by Logarithmic Differentiation AND Stacking

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We aim to use two different methods to find the derivative of x^(2x) and use both logarithmic differentiation and the stacking method to find the solution. Both methods involve using the natural log of both sides to find the derivative, yet the two methods are very different. Seeing them side by side allows us to compare and determine which method we prefer.
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I thought these came under the same name☠️

littlegrass
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In this case, logarithmic differentiation reqiured less knowledge and was shorter.

daniellukacs