Answer
$\dfrac{3}{2}q^{\frac{1}{2}}$
Work Step by Step
Use derivative formula; $f(x)= x^n \implies f'(x)= n x^{n-1}$
Consider $p(q) =q^{\frac{3}{2}}$
Now, $p'(q) =( \dfrac{3}{2})q^{(\frac{3}{2}-1)}=\dfrac{3}{2}q^{\frac{1}{2}}$
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