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vodomira [7]
3 years ago
14

align="absmiddle" class="latex-formula">
Find
\frac{dy}{dx}
​
Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0

Answer:

y = x^x\\\\log y = x log x\\\\\frac{1}{y} \frac{dy}{dx} = x \cdot \frac{1}{x} + log x\\\\\frac{1}{y} \frac{dy}{dx} = 1 + log x\\\\\frac{dy}{dx} = y (1 + log x)\\\\\frac{dy}{dx} = x^x(1 + log x)

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