Question

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Answer 1

i know that the derivative is 1/2sqrtx+1/2x^(3/2) but i still cant get the critical points.

Answer 2

\[f'(x)=\frac{1}{2 x^\frac{1}{2}}+\frac{1}{2 x^\frac{3}{2}}\]
this is what you have right?

Answer 3

if so looks good so far

Answer 4

combine the fractions