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How do you find the derivative of #x*x^(1/2)#?

1 Answer

Apr 16, 2017

#(3/2)x^(1/2)#

Explanation:

Since #x# and #x^(1/2)# have the same base, add the exponents together and merge them:

#x^(1+1/2)=x^(3/2)#

Now take the derivative using the power rule:

#(3/2)x^(1/2)#

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