SOLUTION: Derivative of 2^x^2=..........

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Question 1082781: Derivative of 2^x^2=..........
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

There is no way to tell whether 2^x^2 means  or .

That's why it is necessary to use parentheses when typing algebra 
containing exponents or denominators all on one line.

If you mean the derivative of 



We take natural logarithms of both sides



Then use a rule of logarithms:



[Note: ln(2) is just a constant.]





Replace y by 





Add exponents of 2




--------------------------------------

If you mean the derivative of 



Multiply exponents:



We take natural logarithms of both sides



Use a rule of logarithms:



[Note: ln(2) is just a constant.  





Replace y by 





Add exponents of 2



Edwin

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