# What is the derivative of x to the x? d/dx (x^x)

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If you answer, thank you! I always see this problem but I don't know how to answer it.

If you answer, thank you! I always see this problem but I don't know how to answer it.

##### 2 Answers

May 26, 2018

#### Explanation:

Apply implicit differentiation, standard differential and the product rule.

Substitute

May 26, 2018

#### Explanation:

Let

Apply chain rule:

Derivative of