anyone can help me how to differentiate x^x and 2^x?

If you show me the working and explanation for each steps

it would be great..! THanks!

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- Nov 18th 2009, 10:07 AMChanghonsDifferentiate x^2 and 2^x..
anyone can help me how to differentiate x^x and 2^x?

If you show me the working and explanation for each steps

it would be great..! THanks! - Nov 18th 2009, 10:40 AMskeeter
for $\displaystyle a > 0$ , $\displaystyle \frac{d}{dx}(a^x) = a^x \cdot \ln{a}$

you'll need to use logarithmic differentiation to find the derivative of $\displaystyle y = x^x$

http://http://tutorial.math.lamar.ed...I/LogDiff.aspx

see example 2.