# Step-by-step Solution

Go!
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## Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(x^x\right)$

Choose the solving method

Learn how to solve logarithmic differentiation problems step by step online.

$y=x^x$

Learn how to solve logarithmic differentiation problems step by step online. Find the derivative using logarithmic differentiation method (d/dx)(x^x). To derive the function {x}^{x}, use the method of logarithmic differentiation. First, assign the function to y, then take the natural logarithm of both sides of the equation. Apply 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.

## Final Answer

$x^x\left(\ln\left(x\right)+1\right)$
$\frac{d}{dx}\left(x^x\right)$

### Main topic:

Logarithmic differentiation

### Time to solve it:

~ 0.05 s (SnapXam)