SOLUTION: Please help. I couldn't find any likes of a solution to this problem nor a section to enter this problem on the website : Given that {{{y=2^x*x^2}}}, prove that {{{(dy)/(dx) =(y

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Question 111639: Please help. I couldn't find any likes of a solution to this problem nor a section to enter this problem on the website :
Given that , prove that .

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Please help. I couldn't find any likes of a solution to this problem nor a section to enter this problem on the website :
Given that , prove that .
---------------------



take the  of both sides:







Now, upon realizing that  is just a constant,
we can take the derivative of both sides:



or 



Clear of fractions by multiplying both sides by :



Cancel the y's on the left, and cancel the x's in the
rightmost term:



Factor out y on the right:



Divide both sides by 



Reverse the two terms in the parentheses:



Edwin






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