There are 2 different ways to take the derivative of x^x, which are implicit differentiation, and the chain rule. In this video, we will be solving for the derivative of y=x^x by using these two methods. For the implicit differentiation, we first take the natural log on both sides of the equation, and we are able to apply implicit differentiation to solve for the derivative. For the chain rule, we also take the natural log on both sides, but the difference is that instead of taking the derivative on both sides directly, we first rewrite the equation from logarithmic form into exponential form, so that we can apply the chain rule.

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Implicit Differentiation Explanation:
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Chain Rule Explanation:
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TIMECODES:
0:00 Intro
0:14 First Method Implicit Differentiation
2:17 Second Method Chain Rule
4:12 Outro