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

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Answer 1 · 2017-04-16T01:05:47

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

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:

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

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