What is the derivative of $sqrtx^3$ ?

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Answer 1 · 2015-06-22T14:10:36

You can rewrite the function as $x^(3/2)$

Then you move the exponent to the front, and lower it by 1:

$f'(x)=3/2*x^((3/2 -1))=3/2 *x^(1/2)=3/2 sqrtx$

What is the derivative of sqrtx^3sqrtx^3?