Calculus: Early Transcendentals 8th Edition

Simplify $\frac{3}{2}x^{1/2}+2x^{-1/2}-\frac{3}{2}x^{-3/2}$
First rewrite as $x^{3/2}+4x^{1/2}+3x^{-1/2}$ Then differentiate using the power and constant multiple rule. Keep the constant, bring down the original power (n), and multiply by $x^{n-1}$ $\frac{3}{2}x^{1/2}+4*1/2x^{-1/2}-3*1/2x^{-3/2}$